Refer to the computer solution to Problem 14 in Figure

THE MANAGEMENT SCIENTIST SOLUTION FOR THE DIGITAL

CONTROLS, INC., PROBLEM

a. Interpret the ranges of optimality for the objective function coefficients.
b. Suppose that the manufacturing cost increases to $11.20 per case for model A. What is the new optimal solution?
c. Suppose that the manufacturing cost increases to $11.20 per case for model A and the manufacturing cost for model B decreases to $5 per unit. Would the optimal solution change? Use the 100 percent rule anddiscuss.

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Objective Function Value - 2170.000 Variable Value Reduced Costs AM HM AP BP 100.000 60.000 0.000 90.000 0.000 0.000 1.750 0.000 Constraint Slack/Surplus Dual Prices 0.000 0.000 20.000 0.000 -12.250 -9.000 0.000 0.375 OBJECTIVE COEFFICIENT RANGES Variable Lower Limit Current Value Upper Limit AM BM AP BP No Lower Limit 3.667 12.250 6.000 10.000 6.000 14.000 11.750 9.000 No Upper Limit 11.333 9.000 RIGHT HAND SIDE RANGES Constraint Lower Linit Current Value Upper Limit 0.000 60.000 580 000 600.000 100.000 150.000 600.000 1080.000 111.429 No Upper Limit No Upper Limit 1133.333