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A company is developing its weekly production plan. The company produces two products, A and B, which are processed in two departments. Setting up each batch of A requires $60 of labor while setting up a batch of B costs $80. Each unit of A generates a profit of $17 while a unit of B earns a profit of $21. The company can sell all the units it produces. The data for the problem are summarized below.

Hours required by
Operation A B Hours
Cutting 3 4 48
Welding 2 1 36

What is the appropriate formula to use in cell E8 of the following Excel implementation of the ILP model for this problem?

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A B C D E
1 Fixed charge problem
2
3
4 Product A Product B
5 Number to produce
6
7 Unit profit 17 21 Total profit:
8 Fixed cost 60 80
9
10 Resources Hours required Used Available
11 Cutting 3 4 48
12 Welding 2 1 36
13
14 Binary variables
15 Linking constraints

Which answer is correct?

  • =SUMPRODUCT(B5:C5,B7:C7) – SUMPRODUCT(B8:C8,B14:C14)

  • =SUMPRODUCT(B5:C5,B7:C7) – SUMPRODUCT(B8:C8,B15:C15)

  • =SUMPRODUCT(B8:C8,B14:C14) – SUMPRODUCT(B5:C5,B7:C7)

  • =SUMPRODUCT(B5:C5,B7:C7) – B8:C8

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