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A company has two plants producing a certain product that is to be shipped to three distribution centers
A company has two plants producing a certain product that is to be shipped to three distribution centers. The unit production costs are the same at the two plants with the shipping costs per unit reflected in Table 1. Shipments are made once per Week. During each Week, each plant produces at most 60 units and each distribution center needs at least 40 units.
What is the Objective Function for this data?
Table 1
| Distribution center | Max produced | |||
|---|---|---|---|---|
| 1 | 2 | 3 | ||
| Plant A | 4.00 | 6.00 | 4.00 | 60 |
| Plant B | 6.00 | 5.00 | 2.00 | 60 |
| Needed | 40 | 40 | 40 | |
Select one :
a. Z=6X1+4X2+4X3+6X4+2X5+5X6
b. Z=4X1+6X2+4X3+6X4+5X5+2X6
c. Z=2X1+5X2+6X3+6X4+5X5+2X6
d. Z=40X1+40X2+40X3+60X4+60X5+X6
Expert Solution
The correct answer is c. Z=2X1+5X2+6X3+6X4+5X5+2X6
Explanation: objective function is the numeric value that has to be minimized or maximized according to the given constraints. So, according to the question, Z=2X1+5X2+6X3+6X4+5X5+2X6
has to be maximized and thus, it is the objective function.
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