Recall the Toms, Inc., problem. Letting W = jars of Western Foods Salsa M = jars of Mexico City Salsa Leads to the formulation: Max1W

Recall the Tom’s, Inc., problem. Letting

W = jars of Western Foods Salsa

M = jars of Mexico City Salsa

Leads to the formulation:

Max1W + 1.25M

s.t.

5W + 7M ≤ 4480 Whole tomatoes

3W + 1M ≤ 2080 Tomato sauce

2W + 2M ≥ 1600

W, M ≥ 0 Tomato paste

The Management Scientist solution is shown in Figure.

THE MANAGEMENT SCIENTIST SOLUTION FOR THE TOM’S, INC., PROBLEM

a. What is the optimal solution, and what are the optimal production quantities?
b. Specify the objective function ranges.
c. What are the dual prices for each constraint? Interpret each.
d. Identify each of the right-hand-sideranges.

OPTIMAL SOLUTION Objective Function Value- 860.000 Variable Value Reduced Costs 560.000 240.000 0.000 0.000 Constraint Slack/Surplus Dual Prices 0.000 160.000 0.000 0.125 0.000 0.187 OBJECTIVE COEFFICIENT RANGES Variable Lower Linit Current Value Upper Linit 0.893 1.000 1.000 1.250 1.250 1.400 RIGHT HAND SIDE RANGES Constraint Lower Lisit Current Value Upper Linit 4320.000 1920.000 1280.000 4480.000 2080.000 No Upper Linit 1600 000 5600.000 1640.000