Question: Here is a LP model of a manufacturing process concerned with the production of four variants of the same product, A, B, C, and D,
Here is a LP model of a manufacturing process concerned with the production of four variants of the same product, A, B, C, and D, each of which will yield a certain profit per unit sold, and each requires a certain time for assembly, packing and polishing. Given the current state of the labor force the company estimates time limits available for each of the availability operation. The objective is to determine how many of each variant to make to achieve the greatest possible profit while satisfying all constraints. Figure 1 - Excel spreadsheet used to solve the LP model. Cells B5:E5 are the designated cells for the optimal values of A, B, C, and D product variants while cell F8 is the designated cell for the objective function value. Cells F11:F13 designate the left-hand-side of the constraints. Reference: LP Model - Production of four product variants Refer to Figure 1. What formula should be entered in cell F8 to compute total profitability? A. =B8*(B11+B12+B13)+C8*(C11+C12+C13)+D8*(D11+D12+D13)+D8*(D11+D12+D13) B. Set Objective = F8 C. =SUM(B8:E8) D. =F11*H11+F12*H12+F13*H13 E. =B8*B5+C8*C5+D8*D5+E8*E5
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