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THE TAIWAN ELECTRONIC COMMUNICATIONS (TEC) PROBLEM 129
Figure 3.18 Solution for the Quality Air Conditioning Problem
Objective Function Value = 16440.000
Variable Value Reduced Costs
-------------- --------------- -----------------
E 80.000 0.000
S 120.000 0.000
D 0.000 24.000
Constraint Slack/Surplus Dual Prices
-------------- --------------- -----------------
1 0.000 31.000
2 0.000 32.000
3 320.000 0.000
OBJECTIVE COEFFICIENT RANGES
Variable Lower Limit Current Value Upper Limit
------------ --------------- --------------- ---------------
E 47.500 63.000 75.000
S 87.000 95.000 126.000
D No Lower Limit 135.000 159.000
RIGHT HAND SIDE RANGES
Constraint Lower Limit Current Value Upper Limit
------------ --------------- --------------- ---------------
1 160.000 200.000 280.000
2 200.000 320.000 400.000
3 2080.000 2400.000 No Upper Limit
Max 63E þ 95S þ 135D
s:t
1E þ 1S þ 1D 200 Fan motors
1E þ 2S þ 4D 320 Cooling coils
8E þ 12S þ 14D 2400 Manufacturing time
E; S; D 0
The computer solution is shown in Figure 3.18.
a. What is the optimal solution, and what is the value of the objective function?
b. Which constraints are binding?
c. Which constraint shows extra capacity? How much?
d. If the profit for the deluxe model were increased to E150 per unit, would the optimal
solution change? Use the information in Figure 3.19 to answer this question.
14 Refer to the computer solution of Problem 13 in Figure 3.18.
a. Identify the range of optimality for each objective function coefficient.
b. Suppose the profit for the economy model is increased by E6 per unit, the profit for
the standard model is decreased by E2 per unit, and the profit for the deluxe model
is increased by E4 per unit. What will the new optimal solution be?
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