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?
