Suppose that XYZ Company hires labor and capital in competitive input markets. Assume that labor costs $200 per day and that a unit of capital costs $150 per day. At the current level of production, labor's marginal product is 40 units of output produced per day and capital's marginal product is 30 units of output per day.
a) Given the information provided, is the firm minimizing the cost of current production? Explain why or why not.
b) If the daily wages were to increase, explain the long run adjustments that the firm would likely make in response to the wage increase.

Answers

Answer 1

Answer:

a) Yes, the firm is minimizing the cost of current production. This is because MRPL / w = MRPC / r = 0.20.

b) The long run adjustments that the firm would likely make in response to the wage increase is to use more labor and less capital until MRPL / w = MRPC / r, which is the condition for the cost minimization of a firm.

Explanation:

a) Given the information provided, is the firm minimizing the cost of current production? Explain why or why not.

The condition for the cost minimization of a firm is as follows:

MRPL / w = MRPC / r ……………………………. (1)

Where:

MRPL = Labor's marginal product = 40

w = Cost of labour = $200

MRPC = Capital's marginal product = 30

r = Cost of capital = 150

Therefore, we have:

MRPL / w = 40 / 200 = 0.20

MRPC / r = 30 / 150 = 0.20

Since MRPL / w = MRPC / r = 0.20, this implies that these conditions are consistent with equation (1). Therefore, the firm is minimizing the cost of current production.

b) If the daily wages were to increase, explain the long run adjustments that the firm would likely make in response to the wage increase.

If the daily wages were to increase, the MRPL / w in equation (1) in part a above will fall and we will have:

MRPL / w < MRPC / r …………………… (2)

Since equation (2) is no longer consistent with equation (1), the firm is NOT minimizing the cost of current production.

Therefore, the long run adjustments that the firm would likely make in response to the wage increase is to use more labor and less capital until MRPL / w = MRPC / r, which is the condition for the cost minimization of a firm.


Related Questions

Louis Vuitton decides to invest $80,000,000 into a shoe factory in Milan from its money market account. The money market account was earning 1% in interest per year or $800,000. Louis Vuitton could have also earned $200,000 from investing the $80,000,000 in a handbag factory. What is its opportunity cost for Louis Vuitton based off of the information in presented this situation?
a. $200,000
b. $1,000,000
c. $80,000,000
d. $800,000

Answers

Answer:

d. $800,000

Explanation:

In opportunity cost parlance, we talk about the cost/benefit forgone of the next best alternative, not for all alternatives forgone.

The benefit forgone of the next best alternative is the $800,000 that could have been earned if the funds have been invested in the money market account, in other words, $800,000.

Which of the following is a step in the creation of an Operational Definition?

Answers

a. select a sponsor

b. conduct a test to check for potential misinterpretation

c. list the suppliers

d. establish the problem

The answer to the question is D: Establish the problem.

The operational definition gives a meaning to used terminologies and procedures.

In order to create an operational definition, the following steps are necessary for one to take:

You have to have an identification of the features that you want to measure, this is the same as the problem establishment.The next step lies in the selection of the instrument that you intend to useYou have to give a definition of the method of testingStatement of the criteria for decision makingDocumentation of the definitionLastly you have to test the operational definition

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As operations manager, you are concerned about being able to meet sales requirements in the coming months. You have just been given the following production report: JAN FEB MAR APR Units produced 2,250 1,750 2,750 2,950 Hours per machine 318 194 393 315 Number of machines 5 7 6 5 Find the average of the monthly productivity figures (units per machine hour).

Answers

Answer: 2.81 per hour

Explanation:

Average monthly productivity = (January productivity + February productivity + March productivity + April productivity) / 4

January productivity:

= Units produced / ( Hours per machine * Number of machines )

=  2,250 / ( 318 * 2 )

= 3.537

February productivity:

= 1,750/ ( 194 * 4 )

= 2.255

March productivity:

= 2,750 / ( 393 * 3 )

= 2.332

April productivity:

= 2,950/ ( 315 * 3)

= 3.121

Average monthly productivity = (3.537 + 2.255 + 2.332 + 3.121)/ 4

 = 2.81 per hour

Madison Corporation sells three products (M, N, and O) in the following mix: 3:1:2. Unit price and cost data are: M N OUnit sales price$12 $10 $11Unit variable costs 9 8 9Total fixed costs are $585,000. The selling price per composite unit for the current sales mix (rounded to the nearest cent) is:

Answers

Answer:

Selling price per composite unit= $11.3

Explanation:

Giving the following information:

Madison Corporation sells three products (M, N, and O) in the following mix: 3:1:2.

Unit price and cost data are: M N OUnit sales price$12 $10 $11

First, we need to calculate the sales proportion for each product:

M= 3/6= 0.5

N= 1/6= 0.17

O= 2/6= 0.33

Now, the selling price per composite unit:

Selling price per composite unit= (0.5*12) + (0.17*10) + (0.33*11)

Selling price per composite unit= $11.3

Roanoke Company produces chocolate bars. The primary materials used in producing chocolate bars are cocoa, sugar, and milk. The standard costs for a batch of chocolate (1,827 bars) are as follows: Ingredient Quantity Price Cocoa 600 lbs. $0.40 per lb. Sugar 180 lbs. $0.60 per lb. Milk 150 gal. $1.70 per gal. Determine the standard direct materials cost per bar of chocolate. If required, round to the nearest cent.

Answers

Answer:

Roanoke Company

The standard direct materials cost per bar of chocolate is:

= $0.33.

Explanation:

a) Data and Calculations:

A batch of chocolate = 1,827 bars

Standard Costs for a batch:

Ingredient   Quantity      Price

Cocoa          600 lbs.    $0.40 per lb.

Sugar            180 lbs.    $0.60 per lb.

Milk              150 gal.      $1.70 per gal.

Ingredient   Quantity      Price                 Total Cost

Cocoa          600 lbs.    $0.40 per lb.      $240.00 (600 * $0.40)

Sugar            180 lbs.    $0.60 per lb.         108.00 (180 * $0.60)

Milk              150 gal.      $1.70 per gal.     255.00 (150 * $1.70)

Total cost of batch of chocolate =         $603.00

Cost per bar = $0.33 ($603.00/1,827)

Blue Spruce University sells 4,500 season basketball tickets at $140 each for its 12-game home schedule. Give the entry to record (a) the sale of the season tickets and (b) the revenue recognized after playing the first home game.

Answers

Answer:

a. Total revenue received:

= 4,500 * 140

= $630,000

Date                 Account Title                                           Debit              Credit

XX-XX-XXXX  Cash                                                     $630,000

                        Unearned revenue                                                     $630,000

Revenue is unearned because the games have not been played yet therefore Blue Spruce University has not provided the service for which it was paid and has not earned the revenue.

b. The revenue per game is:

= 630,000 / 12 games

= $52,500

Date                 Account Title                                           Debit              Credit

XX-XX-XXXX   Unearned Revenue                             $52,500

                        Revenue - Ticket Sales                                               $52,500

A company produces a single product. Variable production costs are $12.50 per unit and variable selling and administrative expenses are $3.50 per unit. Fixed manufacturing overhead totals $41,000 and fixed selling and administration expenses total $45,000. Assuming a beginning inventory of zero, production of 4,500 units and sales of 3,850 units, the dollar value of the ending inventory under variable costing would be: Multiple Choice $10,400 $5,850 $8,125 $13,975

Answers

Answer:

the third option is correct - $8,125

Explanation:

The calculation of the ending inventory under variable costing is given below:

Ending inventory value (Variable costing) os

= Variable production cost per unit × No. of units

= $12.50 × (4,500 - 3,850)  

= $8,125,

Hence, the ending inventory under variable costing is $8,125

Therefore the third option is correct

If the price exceeds the average variable cost but is less than the average total cost, a firm Group of answer choices should further differentiate its product. is making some profit but less than maximum profit. should stay in business for a while longer until its fixed costs expire. should shut down

Answers

Answer:

should stay in business for a while longer until its fixed costs expire.

Explanation:

price exceeds the average variable cost, the firm should continue to operate in the short run

If price is less  than the average total cost in the long run, the firm should exit in the long run

Break-Even Sales and Sales to Realize Income from Operations
For the current year ended October 31, Yentling Company expects fixed costs of $14,000,000, a unit variable cost of $200, and a unit selling price of $300.
a. Compute the anticipated break-even sales (units).
units
b. Compute the sales (units) required to realize income from operations of $1,400,000.
units

Answers

Answer and Explanation:

The computation is shown below:

a.

Contribution per unit

= Selling price per unit - Variable costs per unit

= $300 - $200

= $100 per unit

Now  

Break even point (units)

= Fixed costs ÷ Contribution margin per unit

= $14,000,000 ÷ $100

= 140,000 units

And,

b)

Sales units required for a target profit of $1,400,000

So,

= (Fixed costs + Target profits) ÷ Contribution margin per unit

= ($14,000,000 + $1,400,000) ÷ $100

= 154,000 units

. If it outsources the navigation system, fixed costs could be reduced by half, and the vacant facilities could be rented out to earn $2000 per month of rental income. What is the maximum contract cost that Fruit Boat Company should pay for outsourcing

Answers

Answer: $2,425

Explanation:

Fruit Boat should not pay more for the contract than they would if they were producing the good themselves.

= Variable cost + Avoidable fixed costs + Opportunity cost per month

Avoidable fixed cost = (39,000 / 2) / 10 boats = 19,500 / 10 = $1,950

Opportunity cost per month = 2,000 / 10 boats

= $200

Contract price = 275 + 1,950 + 200

= $2,425

HRH Collection Agency keeps a collection fee of 25% of any amounts collected. How much did the agency collect on a bad debt if the agency forwarded $2490 to a client?

Answers

Answer:

The agency collected $ 622.5.

Explanation:

Since HRH Collection Agency keeps a collection fee of 25% of any amounts collected, to determine how much did the agency collect on a bad debt if the agency forwarded $ 2490 to a client, the following calculation must be performed:

2490 x 0.25 = X

622.5 = X

Therefore, the agency collected $ 622.5.

A company has the following budgeted information: Cash receipts: $542,000; Beginning cash balance: $10,000; Cash payments (including interest payments): $560,000; Outstanding loan balance: $100,000; Desired ending cash balance: $50,000. In order to maintain the desired cash balance, the company will need to: Multiple choice question. borrow $42,000 borrow $58,000 borrow $8,000 borrow $50,000

Answers

Answer:

Company A

In order to maintain the desired cash balance, the company will need to:

borrow $58,000

Explanation:

a) Data and Calculations:

Cash receipts: $542,000

Beginning cash balance: $10,000

Cash payments (including interest payments): $560,000

Outstanding loan balance: $100,000

Desired ending cash balance: $50,000

Beginning cash balance: $10,000

Cash receipts:              $542,000

Cash available             $552,000

Cash payments (including

interest payments):   $560,000

Cash balance                 ($8,000)

Desired ending balance 50,000

Amount to borrow =     $58,000

Jebali Company reports gross income of $340,000 and other property-related expenses of $229,000 and uses a depletion rate of 14%. Calculate Jebali's depletion allowance for the current year. $fill in the blank 1

Answers

Answer:

15,540

Explanation:

Depletion = depletion rate x (gross income - expenses)

0.14 x ($340,000 - $229,000) = 15,540

Heath loves candy bars and gummy bears. After using his entire $30 budget at the local supermarket he finds that the marginal utility from the last candy bar he consumed was 30 and the last bag of gummy bears was 60. Assuming he has maximized his utility, what could be true about the prices of gummy bears and candy bars?

Answers

Answer:

Bag of gummy bears must cost twice as that of candy bar.

Explanation:

The cost of candy bar should be less than gummy bear because marginal utility of candy bar is lower than gummy bear. The candy bar will be consumed more therefore its price should be lower. When the price of good will be lower, it will be consumed more.

The three key pieces of information that are stated on a bond certificate are the: A. stated interest rate, the face value of the bond, and the maturity date. B. market interest rate, the price of the bond, and the maturity date. C. interest payment, the face value of the bond, and the credit rating of the company. D. interest payment, the issue price of the bond, and the credit rating of the company.

Answers

A bond certificate should contain stated interest rate, the face value of the bond, and the maturity date.

A bond certificate simply refers to a certificate of debt which is usually issued either by the government or a corporation. The main idea behind the issuing of a bond certificate is to raise money.  

The bond certificate states the bond details e.g. the bond par value, interest rate, maturity date etc.

In conclusion, the correct option is A.

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You are considering investing in the stock of PartyWagon, Inc. You expect a dividend of $1.25 next year, $1.31 in year 2, and $1.38 in year 3. At the end of three years, you expect to be able to sell the stock for $65. If you can purchase the stock for $32, what rate of return do you expect to earn

Answers

Answer: 29.93%

Explanation:

You can use Excel to solve for this.

Bear in mind that when given a series of cashflows, the expected return is the Internal Rate of Return (IRR).

Initial investment = $32

First cashflow = $1.25

Second cashflow = $1.31

Third cashflow = $1.38 + $65 selling price = $66.38

IRR = 29.93%

Hollywood Construction Company recognizes revenue over time according to percentage of completion for its long-term construction contracts. During 2018, Hollywood began work on a $3,000,000 fixed-fee construction contract, which was completed in 2021. The accounting records disclosed the following data at year-end:

Cumulative contract costs incurred Estimated costs to complete at end of year
2018 $200,000 $1800,000
2019 $1100,000 1100,000
2020 2,000,000 4,00,000

For the 2020 year, Hollywood should have recognized gross profit on this contract of :___________

Answers

Answer:

Recognized gross profit on this contract for the 2020 year = $100,000

Explanation:

Note: See the attached excel file for the Calculation of Recognized Gross Profit on this contract for the 2020 year (in bold red color).

In the attached excel file, Recognized Gross Profit for Each Year is calculated using the following formula:

Recognized Gross Profit = Revenue for Current Period - Actual Cost Incurred

From the attached excel file, we have:

Recognized gross profit on this contract for the 2020 year = $100,000

Which of the following is true regarding the corporate form of ownership?

A. All of these

B. Generally has the greatest ability accumulate capital.

C. Separate legal entity in the eyes of the law.

D. Most complex form of ownership.

Answers

Answer:

A. All of these

Explanation:

A corporation can be defined as a corporate organization that has facilities and owns or controls assets used for the production of goods and services in at least one country other than its headquarter (home office) located in its home country.

This ultimately implies that, a corporation is a corporate organization that owns or controls its business in two or more countries. Also, it is a body that comprises of a group of people such as directors, shareholders etc., who act as a single entity.

Generally, a corporate form of ownership is considered to be perpetual in nature.

Corporations can be sold to investors through stocks or shares, as a public entity. Thus, a company that engages in the sales of ownership shares to many investors is referred to as a corporation.

Some examples of multinational firms are Ap-ple, Volkswagen, G-oogle, Shoprite, Nestlé, Accenture, Shell BP, Chevron etc.

On a related note, an owner of a corporation is commonly referred to as a stockholder.

The true statements regarding the corporate form of ownership are;

I. Generally has the greatest ability accumulate capital.

II. Separate legal entity in the eyes of the law.

III. Most complex form of ownership.

A frozen foods company changes an ingredient to meet a new government standard. This is an example of
O following a federal regulation.
O lowering prices for customers.
O reducing the risk for consumers.
o creating a new product.

Answers

Following a federal regulation
The answer would be:

O following a federal regulation.

It’s not lowering prices, because there’s no mention of prices in the question, and it wouldn’t be creating a new product if it’s altering a single ingredient. It although it could possibly reduce risk for consumers, the question doesn’t directly say anything about that, so the answer would have to be the top one.

If a fixed asset, such as a computer, were purchased on January 1st for $3,750 with an estimated life of 3 years and a salvage or residual value of $150, the journal entry for monthly expense under straight-line depreciation is: (Note: EOM indicates the last day of each month.)

Answers

Answer:

EOM depreciation expense $100

accumulated depreciation $100

Explanation:

Depreciation is a method used in expensing the cost of an asset.

Yearly Straight line depreciation expense = (Cost of asset - Salvage value) / useful life

($3750 - $150) / 3 = $1200

Monthly depreciation = yearly depreciation / 12

1200 /12 = 100

Accumulated depreciation is sum of depreciation expense

Assume that an analyst is using the constant dividend growth model to value a stock. Which of the following scenarios would be certain to cause her to decrease her estimate of the stock's value (assuming, of course, that all other factors are held constant)?
A. She believes the company has become riskier, and therefore increases her required rate of return for the stock.
B. She increases her estimate of the company’s next year’s dividend.
C. She increase her estimate of the expected annual rate of growth in the company’s dividends.
D. She decreases her required rate of return for the stock.
E. None of the above would cause her to decrease her estimate of the stock’s value.

Answers

Answer: A. She believes the company has become riskier, and therefore increases her required rate of return for the stock.

Explanation:

The formula for the Constant dividend growth model of valuing stock is:

= Next dividend / (Required return - growth rate)

From the formula above, one can tell that if the required return is higher, it would result in a lower value for stock because it would divide the numerator more.

If the analyst believes that the company is riskier and increases the required return, the value would therefore reduce if other measures are kept constant.

Duane Miller wants to know what price home he can afford. His annual gross income is $67,200. He has no other debt expenses and expects property taxes and insurance to cost $320 per month. He knows he can get a 8.50%, 15 year mortgage so his mortgage payment factor is 9.85. He expects to make a 25% down payment. What is Duane's affordable home purchase price?
a. $107,929.
b. $158,793.
c. $138,207.
d. $209,139.
e. $179,665.

Answers

I think B I hope that helps!

Cary Inc. reported net credit sales of $300,000 for the current year. The unadjusted credit balance in its Allowance for Doubtful Accounts is $500. The company has experienced bad debt losses of 1% of credit sales in prior periods. Using the percentage of credit sales method, what amount should the company record as an estimate of Bad Debt Expense?
a) $2,500
b) $3,000
c) $2,980
d) $3,200

Answers

Answer: b. $3,000

Explanation:

The company's bad debt for the current year is said to be 1% of the credit sales because this is the usual rate for the past periods.

The bad debt expense for this year is therefore:

= Bad debt percentage * Credit sales

= 1% * 300,000

= $3,000

This will then be posted to the Allowance for Doubtful Accounts.

A journal entry for a payment for rent expense was posted as a debit to Salaries Expense and a credit to Cash. Which of the following statements correctly states the effect of the error on the trialâ balance?
A. The sum of the credits will equal the sum of the debits.
B. The sum of the debits will exceed the sum of the credits by .
C. The sum of the debits will exceed the sum of the credits by .
D. The sum of the credits will exceed the sum of the debits by .

Answers

Answer:

A). The sum of the credits will equal the sum of the debits.

Explanation:

journal entry journal entry can be regarded as record of the business transactions which is made in a accountingbooks of a business.

journal entry that is documented properly will contains correct date as well as amounts to be debited and description of the transaction, it contain amount to be credited as well as a unique reference number.Note that "There is equal amount of credit as well as debit in a journal entry"

Trial balance can be regarded as report that give lists of balances of all general ledger accounts in a firm at a particular point in time, there is compilation of all ledger balance into debit as well as credit account column totals. As rule in trial balance, the total of the debit balances as well as credit balances that is been extracted from the ledger must tally with each other.

Solving for PMT of an annuity​) To pay for your​ child's education, you wish to have accumulated ​$ at the end of years. To do this you plan on depositing an equal amount into the bank at the end of each year. If the bank is willing to pay percent compounded​ annually, how much must you deposit each year to reach your​ goal?

Answers

Answer:

$783.87

Explanation:

Complete question "To pay for your​ child's education, you wish to have accumulated ​$10,000 at the end of 8 years. To do​this, you plan to deposit an equal amount into the bank at the end of each year. If the bank is willing to pay 13 percent compounded​annually, how much must you deposit each year to obtain your​goal?"

NPER = 8

FV = 10,000

Rate = 13%

PV = 0

Future Value of Annuity = PMT(Rate, NPER, PV, FV)

Future Value of Annuity = PMT(13%, 8, 10000, 0)

Future Value of Annuity = 783.8671964727014

Future Value of Annuity = $783.87

So, one must deposit $783.87 each year to reach the goal.

Ruby is considering a college degree. She learned that the total costs (including the tuition, fees, and forgone wages) of a college degree is $120,000. Her annual income with a college degree will be $14,000 higher than a high school graduate. She is planning to work for 15 years after graduation. How does her ROI on college change if she decides to work for 30 years instead of 15 years

Answers

Answer: Increase of 3.2%

Explanation:

Return on Investment (ROI) is the return that Ruby would make over her college degree fees.

It is the internal rate of return that would equate her future earnings to the investment in college fees.

Change in ROI = 11.18% - 7.98

= 3.2%

Increase of 3.2%

A loan officer states, "Thousands of dollars can be saved by switching to a 15-year mortgage from a 30-year mortgage." Calculate the difference in payments on a 30-year mortgage at an interest rate of .75% a month versus a 15-year mortgage with an interest rate of .7% a month. Both mortgages are for $100,000 and have monthly payments. What is the difference in total dollars that will be paid to the lender under each loan?

Answers

Answer:

$113,465

Explanation:

Calculation to determine difference in total dollars that will be paid to the lender under each loan

First step is to Calculate the difference in payments on a 30-year mortgage at an interest rate of .75% a month

$100,000 = PMT([1 / (0.0075)] − 1 / {(0.0075)[(1.0075)]^30 × 12})

PMT = $804.62

Second step is to Calculate the difference in payments on a 15-year mortgage at an interest rate of .7% a month

$100,000 = PMT([1 / (0.007)] − 1 / {(0.007 )[ 1.007)]^15 × 12})

PMT = $ 978.87

Now let determine the Total difference

Total difference = ($804.62 × 12 × 30) − ($978.87 × 12 × 15)

Total difference= $113,465

Therefore difference in total dollars that will be paid to the lender under each loan is $113,465

34.Mr. Hoffman has always been cautious with his money, but over the past two weeks he has developed grandiose plans to bet his entire life savings on a single horse race. With unrestrained exuberance he has also been giving everybody he sees unsolicited advice on how to make millions in the stock market. Mr. Hoffman's behavior is most indicative of

Answers

Answer:

mania

Explanation:

From the question we are informed about Mr. Hoffman who has always been cautious with his money, but over the past two weeks he has developed grandiose plans to bet his entire life savings on a single horse race. With unrestrained exuberance he has also been giving everybody he sees unsolicited advice on how to make millions in the stock market. Mr. Hoffman's behavior is most indicative of mania. Mania can be regarded as psychological condition which is responsible for a person to be experiencing intense moods,delusions as well as unreasonable euphoria and hyperactivity. Mania can also be regarded as manic episodes, and this is a symptom of bipolar disorder, one that is experiencing this may not be able to sleep very well or eat well, they have experience of hallucinations as well as some perceptual disturbances.

analysis of the meaning of the bill of lading

Answers

Answer:

A bill of lading is a legal document issued by a carrier to a shipper that details the type, quantity, and destination of the goods being carried. 12 A bill of lading is a document of title, a receipt for shipped goods, and a contract between a carrier and shipper.

Explanation:

I searched it up if its not what your looking for my bad sorry.

On July 1, 2022, Cullumber Company sells equipment for $146000. The equipment originally cost $480000, had an estimated 5-year life and an expected salvage value of $50000. The Accumulated Depreciation account had a balance of $301000 on January 1, 2022, using the straight-line method. The gain or loss on disposal is

Answers

Answer:

Accumulated depreciation = ($480,000 - $50,000)/5 *6/12 + $301,000

Accumulated depreciation = $43,000 + $301,000

Accumulated depreciation = $344,000

Date  Account titles & Explanations           Debit           Credit

         Cash                                                  $146,000

         Accumulated depreciation              $344,000

                 Gain on disposal                                             $10,000

                 Equipment                                                       $480,000

So, the gain on disposal is $10,000

Other Questions
The calculation of the mean of a population and the expected value of the probability mass function of a Random Variable (RV) are quite similar. Consider a probability mass function that contains 4 unique Random Variables: 100, 200, 300, 400. If the expected value of the RV can be calculated by simply taking the average of the RVs, what can be said about the corresponding probabilities of each of the 4 RVs Balance the following equations and write the corresponding ionic and net ionic equations (if appropriate):a. CH3COOH(aq) + KOH(aq) b. H2CO3(aq) + NaOH(aq) c. HNO3(aq) + Ba(OH)2(aq) Joseph, a health care worker,needs to explain a lab testingprocedure to Agnes, a patientin the Elder Rehabilitationprogram. What communicationstrategy should Joseph use? Question 6 of 10The domain of a function f(x) is x = 0, and the range is ys -1. What are thedomain and range of its inverse function, '(x)? 17) The subject of the speaker's passage isO a) reptilesOb) snakesOc) lizards A 750 kg National Geographic Drone is rising vertically up into the atmosphere at constant speed. The lift force pushing it upward is 125% of its weight. The drone reaches the cruising speed almost immediately. It takes 25 seconds for the drone to reach a height of 250m starting from the surface.a. What is the mechanical energy of the drone at the surface?b. What is the mechanical energy of the drone at the 150 m height?c. Is the mechanical energy of the drone conserved, increased, or decreased. Explain your choice.d. What is the work done by each force acting on the drone? A bag contains 35 marbles, 11 of which are red. A marble is randomly selected from the bag, and it is blue. This blue marble is NOT placed back in the bag. A second marble is randomly drawn from the bag. Find the probability that this second marble is NOT red. Match each type of context clue with the correct sentence. The unknown word is underlined.Drag each tile to the correct box.Tilesdefinition clueexample cluesynonym clueantonym cluePairsConstellations, including Aquarius and Orion,are easiest to view on a clear, cloudless night.arrowBoth As Zander walked through the forest, therewas a sense of foreboding, unease, and worry.arrowBoth While Audrey had a grievance with her boss,she also had praise and appreciation.arrowBoth A bibliography is a list of texts referred to byan author. A frozen foods company changes an ingredient to meet a new government standard. This is an example ofO following a federal regulation.O lowering prices for customers.O reducing the risk for consumers.o creating a new product. The number of perpendicular bisectors a segment can have is:1 pointa) 0b) 1c) 3d) 10 What is the organic matter of B4 + C3 divided by 438 Protecting the crime scene helps in identifyingthe suspect.a wrongful death.the cause of death.the victim. PQRS is a parallelogram. Answer the questions below. Below is a histogram representing the test scores from Mrs. Jackson's 2nd period History class. How many students scored a 90 or above? Find the measure of the missing angles. The questions of economics address which of the following? Choose three answers. If (x + 1) is a factor of 2x - kx-8x + 5, find the value of k.[ Using Factor Theorem ] what is the smallest number by which 6400 must be multiplied to make a perfect cube? You have two microservices that need to communicate with each other without holding up a thread on either end. One service will receive an ID and return a message once the job is complete.Which communication framework should be used?A.) Have a shared database that allows bothapplications to read and write to the tables to share the data instead of having to communicateB.) Use asynchronous messaging to send and receive messages between each microserviceC.) Abandon the microservice architecture so no interaction is neededD.) Create a third service to handle the interaction between the servicesE.) Use a RESTful architecture for both, send the ID through a POST, and ping the service with a GET until a response is available A group of progressives that worked to correct problems in American life were calledA. OwnersB:pessimistsC. MuckrakersD. Government