Name:
Date:
Linear Programming Word Problems
Target: I can solve word problems using Linear Programming.
Example 1: Yum's Bakery bakes two breads, A and B. One batch of A uses 5 pounds of oats and 3 pounds of flour
One batch of B uses 2 pounds of oats and 3 pounds of flour. The company has 180 pounds of oats and 135 pounds of
flour available. Yum's Bakery wants to maximize its profits from bread sales. One batch of A yields a profit of $40.
One batch of B yields a profit of $30. Find how many batches of each bread the bakery should bake and the maximum
profit
Oats
Flour
Bread A
5
3
Bread B
2
3
Total Available
180
135
p<= 180x + 135y

Answers

Answer 1
Bread A because it was more likely to have it ..

Related Questions

f f(x) = 10-2x and g(x) = 6x - 5, then (f+g) (x) = ?

Answers

Answer:

(f+g)(x)=4x+5

Step-by-step explanation:

Just add the two functions together:

(f+g)(x)=f(x)+g(x)=(10-2x)+(6x-5)=-2x+6x+10-5=4x+5

So (f+g)(x)=4x+5

Which situation could this graph represent?
A Running up a hill, then walking up the hill
B Driving a car at the same constant speed.
C Walking down a hill, then running down the hill.
D Driving a car at a fast constant speed, then driving at a slower constant speed.

Answers

Answer:

Walking down a hill, then running down the hill.

Step-by-step explanation:

i did it on ttm

The situation the graph represents is walking down a hill, then running down the hill.

Option C is the correct answer.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The graph represents the speed.

The x-axis is time.

The y-axis is distance.

Now,

The first part of the line indicates a constant speed.

The second part of the line indicates an increase in speed.

Now,

Walking down a hill is a constant speed.

Running down the hill is an increase in speed.

Thus,

Walking down a hill, then running down the hill is represented by the graph.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ2

Scarlett stopped at a campground along the Appalachian trail. The campground had a 1 2 acre area for tents, which was divided into 6 equal campsites. Scarlett picked one of the sections to pitch her tent. What is the size of Scarlett's campsite?

Answers

Answer:

1/12 acres

Step-by-step explanation:

Total area of the campground = 1/2 acres

which was divided into 6 equal campsites

Campsites = 6

Scarlett picked one of the sections to pitch her tent. What is the size of Scarlett's campsite?

Since, the the campground is divided into 6 Equal campsites,

Size of Scarlett's campsite = Total area of the campground / number of campsites

= 1/2 ÷ 6

= 1/2 × 1/6

= 1/12

Size of Scarlett's campsite = 1/12 acres

Each of the 6 campsites = 1/12 acres

Answer:

1/2 divided by 6

6/12 divided by 6

Step-by-step explanation:

I got it right

Find the measure of angle A

Answers

Answer:

m<A = 36 degrees

Step-by-step explanation:

we know that the top angle is 90 degrees and so (x+46) + (x + 66) = 90

simplify and we get 2x + 110 = 90

x = -10

substitute -10 for x

m<A = (-10) + 46

m<A = 36

I only need the equation!

Answers

Answer:

m∠A+m∠B = m∠ACD.

Step-by-step explanation:

See my other answer! :)

What is the Value of X?

Answers

The value of x is 80
X equals 80
Needs to be 20 characters

how do you graph y= 3x-2

Answers

Answer:

Plug in x values into the equation. Start by making a table with x on one side and y on the other. Then, plug in an x value into the equation. We'll start by plugging in 0. This would give us y=3(0)-2, which simplifies to y=-2. Now we know that when x=0, y=-2, so write these two values in your table. Next, we can do this with more points. Let's plug in 1 for x. This gives us y=3(1)-2, which simplifies to y=1 when x=1. Again, we'll write this in our table. After we have a few pairs of x and y values, then we'll draw these points on the graph.

Step-by-step explanation:

The graph of the given linear equation, y = 3x - 2, can be drawn as shown in the coordinate plane attached below.

How to Graph a Linear Equation?

To graph y = 3x - 2, choose x-values, calculate the corresponding y-values by substituting them into the equation, plot the points on a coordinate plane, and draw a straight line.

The slope (3) and y-intercept (-2) can be identified from the equation in slope-intercept form (y = mx + b).

Thus, the graph of the linear equation, y = 3x - 2, is shown below.

Learn more about Graph of a Linear Equation on:

https://brainly.com/question/28732353

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Which equation represents a proportional relationship?
A) y =
1
2
x
B) y =
1
2
x + 1
C) y =
1
2
x + 2
D) y =
1
2
x +
1
2

Answers

Answer:

A

Step-by-step explanation:

Does anyone know the answer to this????

Answers

Answer:

its 5x

Step-by-step explanation:

Answer:

5a

Step-by-step explanation:

By vertical angle theorem

help needed i will love you forever

Answers

Answer:

128

Step-by-step explanation:

Answer:

x=21.3

Step-by-step explanation:

hope this helps

Are the triangles congruent? If so, which of the 5 ways to prove triangles congruent could you use?

Answers

We can prove that these triangles are congruent by using SAS congruency rule.

SAS which means Side Angle Side.

In these triangles, we see that two sides are equal in length and one angle is equal.

So, SAS congruency rule is the answer.

Place these numbers in order from greatest to least:
.27, 25%, 13/50, .274, 7/25, 30%

Answers

Answer:27, 0.3, 7/25, 0.274, 13/50, 0.25

Step-by-step explanation:

ONLY HAVE 6 MINS HELP PLZ ILL MARK BRAIN

A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week.

a.)Create a system of equations or inequalities that models the situation. Define the variables you use.

B.)The graph shows one of the relevant equations in this situation. Draw the graph of the other relevant equation on the same coordinate plane.

c.)Use the graph above to show all the points that represent the number of hours the student can work at each job and meet his goal. Explain your reasoning.

Answers

Answer:

a

Step-by-step explanation:

Answer:

(20,20)

Add a line through there and shade the middle area

Kelly sold digital cameras on her web site. She bought the cameras for $56 each and included a 65% markup to get the selling price. To the nearest dollar, what was the selling price for one camera?

Answers

Answer:

$36

Step-by-step explanation:

65% of 56 = 36.4

36.4 Rounded is 36.

The Selling Price for One Camera is $36.

Hope this Helped! :D

PLEASE HELP, 6TH GRADE MATH a chemist is raising the temperature of a liquid the temperature is now 8.4 degrees celsius and is increasing by 1.6 degrees celsius per minute. How many minutes will it take for the temperature to reach 0 degrees celsius?

Answers

Complete question :

A chemist is raising the temperature of a liquid. The temperature is now --8.4 degrees Celsius and is increasing by 1.6 degrees Celsius per minute. How many minutes will it take it for it to take to get to 0 degrees Celsius

Answer:

5.25 minutes

Step-by-step explanation:

Given that :

Current temperature = - 8.4°C

Rate of change = 1.6°C per minute

For the temperature to be 0°C ; it will take

(Final temperature - current temperature) rate of change

(0°C - (-8.4°C)) / 1.6°C

(0°C + 8.4°C) / 1.6°C

8.4°C / 1.6°C

= 5.25 minutes

Please help and answer

Answers

Answer:  choice C

Step-by-step explanation:

sorry if wrong

Answer:

c

Step-by-step explanation:

c

because its c but its c

Evan and Carter are making chocolate milk which mixes milk with chocolate syrup. Evan's recipe calls for 5 cups of milk for every 4 teaspoons of chocolate syrup. Carter's recipe needs 3 cups of milk for every 2 teaspoons of chocolate syrup. Whose recipe has the stronger tasting chocolate milk?

Answers

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

5 = 4

3 = x

5x = 12

x = 12/5

x = 2.4 teaspoons

This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

this is pretty easy im just lazy and i dont want to do it<3

Answers

Answer:

I can't read is so blurry -0_0-

Step-by-step explanation:

help asap will mark brainliest

Answers

Answer:

the last one

Step-by-step explanation:

its the last one because 1x3 is 3 so you need one with a 3, then 4x2 is 8 and theres half a side so its the last answer with half 3/4 on one side

A car leaving a stop sign accelerates constantly from a speed of 0 feet per second to reach a speed of 44 feet per second. The distance of the car from the stop sign, d d , in feet, at time t t , in seconds, can be found using the equation d=1.1t2 d = 1 . 1 t 2 . What is the average speed of the car, in feet per second, between t=2 t = 2 and t=5 t = 5 ?

Answers

Answer:

c

Step-by-step explanation:

The distance of the car from the stop sign, d , in feet, at time t , in seconds, can be found using the equation

The average rate of change of a function f(x) on [a,b] is

We need to find the average speed of the car, in feet per second, between t=2 and t=5.

At t=2,

At t=5,

The average speed of the car, in feet per second, between t=2 and t=5 is

The average speed of the car, in feet per second, between t=2 and t=5 is 7.7 feet per second.

4(x-5)<16

helppp i’m really bad at math

Answers

Answer:

x < 9

Step-by-step explanation:

Distribute 4

4x -20 < 16

add 20 to both sides

4x<36

divide by 4

x<9

plz i want the answer

Answers

Answer:

Step-by-step explanation:

1. 3(5) plus 2 = 17

2. 2(5)^2 = 25(2) = 50

3. (5-2)^2 =3^2 = 9

X=5

y=2

then a: 3*5+2=17

b:2*5*5=50

c:5-2=3*3=9

a=17

b=50

c=9

need answers ASAP will give brainiest.

please answer the 3 questions​

Answers

Sas
X=6
13
Those are the answers

The cafeteria at Local Middle School offers a choice of either a sandwich or soup every Thursday. Of all students who purchased lunch this Thursday, 30 chose a sandwich. If the ratio of students who chose a sandwich to all of those who chose soup was 6:5, how many of the students had soup for lunch?

Answers

Answer:

25 students had soup for lunch

Step-by-step explanation:

Sandwich : soup

Of all students who purchased lunch this Thursday, 30 chose a sandwich

Let x = number of students who choose soup

Sandwich : soup = 30 : x

If the ratio of students who chose a sandwich to all of those who chose soup was 6:5

Sandwich : soup = 6 : 5

how many of the students had soup for lunch?

Equate both ratios

Sandwich : soup

30 : x = 6 : 5

30 / x = 6 / 5

Cross product

30 * 5 = x * 6

150 = 6x

Divide both sides by 6

x = 150 / 6

= 25

x = number of students who choose soup = 25 students

Answer:

25

Step-by-step explanation:

(3x+1) ^1/3=4. Pls show me the steps to do it.

Answers

Answer:

x = 21

Step-by-step explanation:

(3x+1) ^1/3=4 means that the 1/3 is an exponent that can be rewritten as a cube root.

You can bring the cube root to the other side of the equation.

1. I chose to bring it to the other side of the equation, making it a cube.

(3x+1) ^1/3 = 4

(3x+1) = 4^3

(3x+1) = 4 * 4 * 4

(3x+1) - 1 = 64 - 1

3x/3 = 63/3

x = 21

Denise is conducting a physics experiment to measure the acceleration of a falling object when it slows down and comes to a stop. She drops a wooden block with a mass of 0.5 kilograms on a sensor on the floor. The sensor measures the force of the impact as 4.9 newtons. What’s the acceleration of the wooden block when it hits the sensor? Use F = ma.

Answers

Answer:

9.8m/s2

Step-by-step explanation:

the mass is 0.5kg

the force is 4.9N

you need to find the acceleration

To find the acceleration, divide the force and mass

4.9N/0.5Kg

the answer is 9.8m/s2

To check, multiply the acceleration to the mass

9.8m/s2*0.5Kg=4.9N

Determine whether or not the triangles below are congruent.

Answers

Yes they are. hope that helped <3


The idea of a rule that assigns outputs to inputs is very abstract. These rules often come in the
form of tables, but can also come in the form of equations, graphs, and ordered pairs.
Exercise #2: In the function below, the variable y is a function of the variable x:
y = x2 +10
Give the outputs for each of the following inputs. Show how you found your answers.
(a) x = 3
(b) x = -5
(c) x = 0
y = 5x - 3

Answers

I believe it would be b seeing that y could be a negative

I’m sorry I know how to do this but I’m really lazy. ❤️

Answers

Answer:

me too

Step-by-step explanation:

Hi! I need help with my hw! Repost since people could not see it.​

Answers

1. --2. Unit rate: 1,16 3. I added the (y-ints) by their (x-ints), and it had been a constant of 16.Ex: 0,0. starting point.      1, 16. 16/1      2, 32. 32/2      3, 48. 48/3      4, 64. 64/4      5, 80. 80/5 4. I would have 96 dollars. 5. By figuring out the unit rate.

As you can see from the rate of change, 1=16 and 0=0. You can tell by subtracting 48-32 and that'll give you the rate of change which is equivalent go 16. After 6 days, you'll get 96 dollars. I figured that out by adding the rate of change to 80 and that gave me the answer of 96.

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