Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.

Answers

Answer 1

9514 1404 393

Answer:

  100 runs from Macon

Step-by-step explanation:

A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).

Checking costs of these solutions, we find the lowest cost to be obtained when ...

  100 production runs should be ordered from Macon

Two Chemical Plants, One At Macon And One At Jonestown, Produce Two Types Of Fertilizer, Low Phosphorus

Related Questions

3 Write the statement "10 is 7 less than the product of 5 and a" as a
mathematical equation.

Answers

the answer is 5a(10-7)

Judith made 4 stacks of wooden blocks. The first stack was 9 blocks tall. The second stack was 5 blocks taller than the first. The third stack was 5 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. How many blocks did Judith use in all?

Answers

Answer: the answer is 42

can you solve this equation?
-12 2/3 + 2 1/3

Answers

Answer:

-7.333

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

How Many Equal Parts Are In 4/5

Answers

Answer:

4

Step-by-step explanation:

Image result for how many equal parts are in 4/5

Each equal part is called one-fourth or a quarter of the whole sheet. So, any whole can be divided into four equal parts and each part is one-fourth or a quarter of the whole.

The answer would be 4 ^^

Let f(x) = - 4x+2 and g(x) = x2 + 2.
Find (f+g)(x).

Answers

Answer:

[tex]x^{2}[/tex]-4x+4

Step-by-step explanation:

81^3x÷3^4x=729 solve for x

Answers

Answer:

Step-by-step explanation:

x=45816 , 1.89552335

Answer:

Answer:

x=0.333333,−0.333333

Step-by-step explanation:

(813)(x) /3^4

x=729

Simplifies to:

6561x2=729

Let's solve your equation step-by-step.

6561x2=729

Step 1: Divide both sides by 6561.

6561x^2 /6561 =  729 /6561

x2= 1 /9

Step 2: Take square root.

x=±√ 1 /9

x=0.333333,−0.333333

Please help I need this answer ASAP

Answers

Answer:

7 granola bars

Step-by-step explanation:

560 calories in 4 bars

560/4 = 140 per bar

980/140 = 7 bars

3(c − 2) = 15 what’s the value of c?

Answers

Answer: 7

Step-by-step explanation:

Distribute

3c - 6 = 15

Add 6 to both sides

3c = 21

Divide 3 to both sides

c = 7

The total cost C for a manufacturer during a given time period is a function of the number N of items produced during that period. To determine a formula for the total cost, we need to know the manufacturer's fixed costs (covering things such as plant maintenance and insurance), as well as the cost for each unit produced, which is called the variable cost. To find the total cost, we multiply the variable cost by the number of items produced during that period and then add the fixed costs.

a. Use a formula to express the total cost C of this manufacturer in a month as a function of the number of widgets produced in a month. Be sure to state the units you use.
b. Express using functional notation the total cost if there are 250 widgets produced in a month, and then calculate that value.

Answers

Answer:

(a) C = 9000 + 15N

(b) Cost of 250 widgets is $12750

Step-by-step explanation:

The question has missing details. See attachment for complete question

Solving (a): An expression for total cost.

The expression is generated using:

[tex]Total\ Cost = Fixed\ Cost + Variable\ Cost * Number\ of\ Items[/tex]

From the given parameters:

[tex]Fixed\ Cost = 9000[/tex]

[tex]Variable\ Cost = 15[/tex]

[tex]Number\ of\ Items = N[/tex]

So, the expression becomes:

[tex]C = 9000 + 15 * N[/tex]

[tex]C = 9000 + 15 N[/tex]

Solving (b): Cost of 250 widgets

In this case:

[tex]N =250[/tex]

Substitute 250 for N in [tex]C = 9000 + 15 N[/tex]

[tex]C = 9000 + 15 * 250[/tex]

[tex]C = 9000 + 3750[/tex]

[tex]C = 12750[/tex]

please help, this is due soon!

Answers

Answer:

289 meters I believe.

Step-by-step explanation:

Jenna has a rectangular pig pen that measures 8m wide by 10m long. She wants to increase the area to 168 m^2 by increasing the length and width by the same amount. What would you enter into desmos to represent the equation?

A) x^2 + 18x – 88

B) x^2 + 10x + 80

C) (8x)(10x)-168

D) None of the above

Answers

Answer:

The answer is A

Step-by-step explanation:

I just took the test and it was the answer!

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

The correct option is (A).

What is Surface Area?

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement.

As per the given data:

The dimensions for the pig pen Jenna has is given.

The area of the pig pen is to be increased to 168 m² by increasing the length and width by the same amount.

Length of the rectangular pig pen = 10 m

Width of the rectangular pig pen = 8 m

Now, let's say that the length and width of the pig pen is increased by x m.

length = 10 + x

width = 8 + x

The expression for the area of the pig pen will be:

Area = length × width

168 = [10 + x][8 + x]

168 = 80 + 10x + 8x + x²

x² + 18x - 88 = 0

The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

Hence, The equation for the increase in length and width of the rectangular pig pen is x² + 18x - 88 = 0.

To learn more about surface area, click:

brainly.com/question/29298005

#SPJ2

J.D. power and Associates calculates and publishes various statistics concerning car quality. The dependability score measures problems experienced during the past 12 months by original owners of three-year-old vehicles (those that were introduced for the 2017 model year). For these models of cars, Ford had 1.27 problems per car and Toyota had 1.12 problems per car. (Data extracted from 2013 U.S. Vehicle Dependability Study,J.D. Power and Associates, February 13, 2013, Let X be equal to the number of problems with a three -year -old Ford.
a. What assumptions must be made in order for X to be distributed as a Poisson random variable? Are these assumptions reasonable? Making the assumptions as in (a), if you purchased a Ford in the 2010 model year, what is the probability that in the past 12 months, the car had
b. zero problems?
c. two or fewer problems?
d. Give an operational definition for problem. Why is the operational definition important in interpreting the initial quality score?

Answers

Answer:

0.281 ; 0.864

Step-by-step explanation:

1.)

p decreases as n increases (n increases, p--> 0)

λ ≥ 0

P(x = x) = (e^-λ * λ^x) ÷ x!

λ for Ford = 1.27

B) zero problems :

P(x = 0) :

(e^-1.27 * 1.27^0) ÷ 0! = 0.281

P(x = 0) = 0.281

Two or fewer problems :

P(x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)

P(x ≤ 2) = 0.281 + 0.357 + 0.226

P(x ≤ 2) = 0.864

D.) It allows for early detection and thus adequate curtailment of the problem at an a stage in which it seems easier to curb.

HELP PLEASE!!!
See the image!

Answers

Answer:

Step-by-step explanation:

Remark

I don't think the net helps you that much. The yellow diagram shows where the dimensions are.

Givens

L = 5w = 5h = 12

Formula

Surface Area = 2*L*w + 2*L*h + 2 * w * h

Solution

Surface Area = 2*5*5 + 2*5*12 + 2*5*12Surface Area = 50 + 120 + 120Surface Area = 290 in^2

Pat said that the amount of money he has in his pocket is greater than or equal to $5.75 but less than $13.00. Which number line shows the amount of money Pat might have?

Answers

Draw a line that starts at 5.75 and ends at 12.99

Never was given anything to help solve they just assume you know it

Answers

Answer: 0.4575

Step-by-step explanation:

.915/2

The height of a standard coffee cup

would be about

7 meters

B

7 kilometers

7 centimeters

D

7 millimeters

Answers

Answer:

7 centimeters

Step-by-step explanation:

Standard size of a coffee cup is 7 centimeters

7 meters is too big

7 kilometers  is bigger than 7 meter

7 millimeters is too small

Jim buys a vase. The diameter of the vase is 14 cm. What is the circumference?

Answers

Step-by-step explanation:

To find circumfrence you use the equation:

[tex]C=2\pi r[/tex]

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

[tex]C=2\pi 7[/tex]

C= 43.98 or 44 rounded

Answer:

To find circumfrence you use the equation:

Since you were given the diameter so you divide by half to get the radius.

14/2 = 7

your radius is 7 and all you do is plug into the equation

C= 43.98 or 44 rounded

Step-by-step explanation:

Extend the pattern below by four terms write an observation about the pattern pattern 76, 70, 64,58,52

Answers

Answer:

46, 30, 24, 18, 12

Step-by-step explanation:

If the root of x2-7x+k=0, m=1, find the value of the constant k

Answers

Answer:

hfrhghubifhvfuovhtjopugjob

Step-by-step explanation:

Jason had 141 dollars to spend on 8 books. After buying them he had 13 dollars. How much did each book cost ?

Answers

Answer:

Each book cost $16

Step-by-step explanation:

Step 1: Subtract $13 from 141 to get 128

Step 2: Divide 8 by 128 to get 16

Each book cost $16

Hope this helps

pls mark brainliest!

‍♂️‍♂️‍♂️help me plz I dont no 1+1​

Answers

Answer:

The answer is 2

Step-by-step explanation:

Since the number 1 plus 1 is 2

11, you do 1+1 n take away the +


Three friends Steve, Jake and Jodie shared a pizza. Steve ate 2/5 of the pizza and Jake ate 1/4
What fraction did Jodie eat?

Answers

Note that they together ate all of the pizza.
Therefore the total fractions they ate should add up to 1.

By letting the fraction Jodie ate be x.

x + 2/5 + 1/4 = 1
x = 7/20

The answer is 7/20.

Answer:

they ate it all together as it all adds to 1

Step-by-step explanation:

1/4+2/5 if you add the missing remainder it totals 1

If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.

Answers

Answer:

y = 16

Step-by-step explanation:

Given that,

y varies inversely with x i.e.

[tex]y=\dfrac{k}{x}[/tex]

Where

k is a constant of proportionality

Put y = 48 and x = 6 in the above equation to find k.

So,

[tex]k=48\times 6\\\\k=288[/tex]

Now put k = 288 and x = 18 in the above equation to find y.

[tex]y=\dfrac{288}{18}\\\\y=16[/tex]

So, the value of y is equal to 16 when x = 18.

Answer:

16

Step-by-step explanation:

A restaurant wants to study how well its salads sell. If 10 of the salads sold were ​salads, how many total salads did the restaurant​ sell?

Answers

Uh 10,I don’t know if this is a joke or if your wording was just wrong but the answer is 10 based off off your wording.

Answer:

Um... is this a joke it’s 10

Step-by-step explanation:

Look at pic plz help

Answers

Answer:

Mochi is growing quicker.

Step-by-step explanation:

At 3 weeks Mochi was 13 pounds but Kappa was only at 11. Hope this helps! I'd really appreciate brainliest.

Answer:

Mochi

Step-by-step explanation:

by 2 weeks Mochi was at weight 9 while Kappa was at 8 in weight the same time.

STICK EM UP! or I will have to shoot.

Answers

knock knock knock FBI open up

Missy read 1/12 of a book by Monday 1/4 of the book by Tuesday and 5/12 of the book by Wed. if the pattern continues how much of the book will she have read by Fri. draw a chart or explain​

Answers

Answer:

part A:

1/12 on day 1

1/4 or 3/12 on day 2

5/12 on day 3

Missy read 2/12 or 1/6 every day

Part B:

if day 1 is 1/12 and Friday is day 5 and she reads 2/12 per day

2/12 * 4 = 8/12

so 1/12 + 8/12 = 9/12 or 3/4 by Friday

Answer:

Monday: 1/12

Tuesday: 3/12

Wednesday: 5/12

Step-by-step explanation:

A company that advertises on websites uses the formula below to estimate the number of people who will click on one of its advertisements, where c is the number of clicks on that advertisement, t is the length of time the advertisement is displayed (in days), and d is the distance from the top of the website to the advertisement (in inches).

c = 152t - 44d

How many clicks would the company estimate to receive from its advertisement that is displayed 7 inches from the top of the website for 18 days? A. 272 B. 2,692 C. 2,428 D. 2,729

Answers

Answer:

C. 2428

Step-by-step explanation:

c=152t-44d

Its given that,

t=18, d=7

substituting

c=152(18)-44(7)=2428

Please rate brainliest

How would the area of a triangle be affected if the base and height are dilated by 1/2

Answers

Answer:

The area would reduce to 1/4 the original area

Step-by-step explanation:

The area of a triangle = (1/2)(base)(height) or bh/2

If the triangle base and height were to reduce by one-half, the formula would change to:

Area = (1/2)(1/2 base)(1/2 height) or bh/8. Which is a reduction by 1/4

1.
Write the equation, then find the value of x.

2.
What is the measure of

Answers

Answer:

1.

32+36+2x=180

2.

56

hope this helps

answer: 1) x=56 :), i can’t see the rest of the second question
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