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A company needs to purchase several new machines to meet its future production needs. It can...

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Advance Math

A company needs to purchase several new machines to meet itsfuture production needs. It can purchase three different types ofmachines A,B,andC. Each machine A costs $80,000 and requires 2,000square feet of floor space. Each machine B costs$50,000 andrequires 3,000 square feet of floor space. Each machine C costs$40,000 and requires 5,000 square feet of floor space. The machinescan produce 200, 250 and 350 units per day respectively. The plantcan only afford $500,000 for all the machines and has at most20,000 square feet of room for the machines. The company wants tobuy as many machines as possible to maximize daily production.

Let                      Xi= number of machines to be purchased

MAX:                        200X1+250X2+300X3

Subjectto:           2X1+3X2+5X3?20

80X1+50X2+40X3?500

X1,X2,X3?0

A

B

C

D

E

F

1

CapitalExpansion

2

3

MachineTypes

4

Machine1

Machine2

Machine3

5

Numbertobuy

TotalOutput:

6

Machineoutput

7

8

Requirements:

Used

Available

9

Squarefeet

10

Cost

How many of each machine should theypurchase?

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