A company has two plants producing a certain product that is to be shipped to th

Question

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 Max Distribution Center 2 A $ 4.00 $6.00 $ 4.00 60 B $ 6.00$5.00 $ 2.00 60 40 3 Produced Plant Needed 40 40 Select one: a. Z = 6x1 +4x2 + 4x3 + 6x4 + 2x5 + 5x6 0 b. Z = 4x1 + 6x2 + 4x3 + 6x4 + 5x5 + 2x6 c.Z=2x1 + 5x2 + 6x3 + 6x4 + 5x5 + 2x6 O d. Z = 40X1 + 40X2 +40X3 + 60X4 + 60X5-X6

Explanation / Answer

Answer:

a. Z=2X1+5X2+6X3+6X4+5X5+2X6

As per the information provided the objective function for the data given would be Z=2X1+5X2+6X3+6X4+5X5+2X6. Hence the correct answer is ‘c’.

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