Electrocomp%u2019s management realizes that it forgot to include two critical co
ID: 1177233 • Letter: E
Question
Electrocomp%u2019s management realizes that it forgot to include two critical constraints (see Problem 7-14). In particular, management decides that to ensure an adequate supply of air conditioners for a contract, at least 20 air conditioners should be manufactured. Because Electrocomp incurred an oversupply of fans in the preceding period, management also insists that no more than 80 fans be produced during this production period. Resolve this product mix problem to find the new optimal solution.
Explanation / Answer
Let X1 = the number of air conditioners scheduled to be produced
X2 = the number of fans scheduled to be produced
Maximize
25X1
+
15X2
(maximize profit)
Subject to:
3X1
+
2X2
%u2264
240
(wiring capacity constraint)
2X1
+
X2
%u2264
140
(drilling capacity constraint)
X1
%u2265
20
(a/c contract constraint)
X2
%u2264
80
(maximum # of fans constraint)
X1, X2
%u2265
0
(non-negativity constraints)
Optimal Solution: X1 = 40 X2 = 60 Profit = $1,900
Maximize
25X1
+
15X2
(maximize profit)
Subject to:
3X1
+
2X2
%u2264
240
(wiring capacity constraint)
2X1
+
X2
%u2264
140
(drilling capacity constraint)
X1
%u2265
20
(a/c contract constraint)
X2
%u2264
80
(maximum # of fans constraint)
X1, X2
%u2265
0
(non-negativity constraints)
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