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katrin [286]
4 years ago
8

A company needs to purchase several new machines to meet its future production needs. It can purchase three different types of m

achines A, B, and C. Each machine A costs $80,000 and requires 2,000 square feet of floor space. Each machine B costs $50,000 and requires 3,000 square feet of floor space. Each machine C costs $40,000 and requires 5,000 square feet of floor space. The machines can produce 200, 250 and 350 units per day respectively. The plant can only afford $500,000 for all the machines and has at most 20,000 square feet of room for the machines. The company wants to buy as many machines as possible to maximize daily production.
Let Xi = number of machines of type i purchased

MAX: 200X1 + 250X2 + 300X3

Subject to: 2X1 + 3X2 + 5X3 ≤ 20

80X1 + 50X2 + 40X3 ≤ 500

X1, X2, X3 ≥ 0

A

B

C

D

E

F

1

Capital Expansion

2

3

Machine Types

4

Machine 1

Machine 2

Machine 3

5

Number to buy

Total Output:

6

Machine output

200

250

350

7

8

Requirements:

Used

Available

9

Square feet

2,000

3,000

4,000

20,000

10

Cost

80,000

50,000

40,000

500,000

How many of each machine should they purchase?
Mathematics
1 answer:
katovenus [111]4 years ago
3 0

Answer:657

Step-by-step explanation:

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Answer:

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8 0
3 years ago
A population of beetles are growing according to a linear growth model. The initial population (week 0) is P0=9
Varvara68 [4.7K]

Answer:

P(n)=5n+9

Step-by-step explanation:

The initial population (week 0), P_0=9

Population after 5 weeks, P_5=44

Since the population is growing according to a linear growth model.

A linear model is of the form: y=mx+b where m is the slope and b is the y-intercept.

First, we determine the population growth per week which is our slope.

m =\dfrac{44-9}{5-0} =\dfrac{35}{5}\\$Growth per week, m = 5 beetles per week

We then have:

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When Number of weeks, n=0, P_0=y=9

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P(n)=5n+9

8 0
3 years ago
Help…
xeze [42]

The domain for the function f(x) = |x + 1| is the set of all real numbers.

The range of the function is the set of positive real numbers.

Given the function f(x) = |x + 1|

f(-4) = |-4 + 1| = | -3| = 3

This means that the number -4 is at a distance of 3 units away from -1 on the number line.

f(2) = |2 + 1| = |3| = 3

This means that the number 2 is at a distance of 3 units away from -1 on the number line.

f(1.5) = |1.5 + 1| = |2.5| = 2.5

This means that the number 1.5 is at a distance of 2.5 units away from -1 on the number line.

Learn more at:

Domain and range - brainly.com/question/2264373

Absolute value or modulus function - brainly.com/question/12980508

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4 0
1 year ago
Change this decimal to a percent. .125
AlladinOne [14]

12.5%

Hope this helps! ;)

7 0
3 years ago
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What is the final cost of an item that is priced at $18.75 with a sales tax rate of 8%?
miskamm [114]
The sales tax adds an extra $1.50 to the price which will make the total $20.25.
7 0
3 years ago
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