Question: Recall the TJ Inc.'s problem (Chapter 2, Problem 28). Letting W = jars of Western Foods Salsa M = jars of Mexico City Salsa Leads

Recall the TJ Inc.'s problem (Chapter 2, Problem 28). Letting
W = jars of Western Foods Salsa
M = jars of Mexico City Salsa
Leads to the formulation:
Max 1W + 1.25M
s.t.
5W + 7M ‰¤ 4480 Whole tomatoes
3W + 1M ‰¤ 2080 Tomato sauce
2W + 2M ‰¤ 1600 Tomato paste
W, M ‰¥ 0
The computer solution is shown in Figure 3.15.
a. What is the optimal solution, and what are the optimal production quantities?
b. Specify the objective function ranges.
c. What are the dual values for each constraint? Interpret each.
d. Identify each of the right-hand-side ranges.
Figure 3.15

Optimal Objective Value - 860.00000 Variable Value Reduced Cost 560.00000 240.00000 0.00000 0.00000 Constraint Slack/Surplus Dual Value 0.00000 160.00000 0.00000 0.12500 0.00000 0.18750 Objective Allowable Increase Allowable Variable Coefficient Decrease 1.00000 1.25000 0.25000 0.15000 0.10714 0.25000 RHS Value Allowable Increase Allowable Decrease Constraint 4480.00000 2080.00000 1600.00000 1120.00000 Infinite 40.00000 160.00000 160.00000 320.00000

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