A company produces three products which must be painted,assembled,and inspected.The machinery must be cleaned and adjusted before each batch is produced.They want to maximize their profits for the amount of operating time they have.The unit profit and setup cost per batch are:
The operation time per unit and total operating hours available are:
Based on this ILP formulation of the problem and the optimal solution X1,X2,X3)= 270,0,0),what values should appear in the shaded cells in the following Excel spreadsheet?
Xi = amount of product i produced
Yi = 1 if product i produced,0 otherwise
MAX: 9 X1 + 10 X2 + 12 X3 ? 500 Y1 ? 600 Y2 ? 650 Y3
Subject to: 1 X1 + 2 X2 + 2 X3 ? 400
2 X1 + 3 X2 + 2 X3 ? 600
2 X1 + 4 X2 + 3 X3 ? 540 X1 ? M1 Y1 OR 270 Y1 X2 ? M2 Y2 OR 135 Y2 X3 ? M3 Y3 OR 180 Y3 Yi = 0,1
Xi ? 0 and integer
Correct Answer:
Verified
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