Optimal Objective Value = 860.00000 Variable Value Reduced Cost W 560.00000 0.00000 M 240.00000 0.00000 Constraint Slack/Surplus Dual Value 1 0.00000 0.12500 2 160.00000 0.00000 0.00000 0.18750 Objective Allowable Allowable Variable Coefficient Increase Decrease W 1.00000 0.25000 0.10714 M 1.25000 0.15000 0.25000 RHS Allowable Allowable Constraint Value Increase Decrease 4480.00000 1120.00000 160.00000 2080.00000 Infinite 160.00000 3 1600.00000 40.00000 320.00000 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.

Optimal Objective Value = 860.00000 Variable Value Reduced Cost W 560.00000 0.00000 M 240.00000 0.00000 Constraint Slack/Surplus Dual Value 1 0.00000 0.12500 2 160.00000 0.00000 0.00000 0.18750 Objective Allowable Allowable Variable Coefficient Increase Decrease W 1.00000 0.25000 0.10714 M 1.25000 0.15000 0.25000 RHS Allowable Allowable Constraint Value Increase Decrease 4480.00000 1120.00000 160.00000 2080.00000 Infinite 160.00000 3 1600.00000 40.00000 320.00000 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.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

100%

9. 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

FIGURE 3.15 THE SOLUTION FOR THE TJ INC'S PROBLEM
Optimal Objective Value
860.00000
%3D
Variable
Value
Reduced Cost
W
560.00000
0.00000
M
240.00000
0.00000
Constraint
Slack/Surplus
Dual Value
1
0.00000
0.12500
160.00000
0.00000
0.00000
0.18750
Objective
Allowable
Allowable
Variable
Coefficient
Increase
Decrease
W
1.00000
0.25000
0.10714
M
1.25000
0.15000
0.25000
RHS
Allowable
Allowable
Constraint
Value
Increase
Decrease
1
4480.00000
1120.00000
160.00000
2080.00000
Infinite
160.00000
1600.00000
40.00000
320.00000
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.

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