Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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The problem below involves three variables. Solve it with the simplex method, Excel, or some other technology.
A contractor builds three types of houses: the Aries, the Belfair, and the Wexford. Each house requires one lot, and the following table gives the number of labor-hours and the amount of capital needed for each type of house, as well as the profit on the sale of each house. There are 9 lots, 34,400 labor-hours, and $2,429,200 available for the contractor's use.
Aries | Belfair | Wexford | ||||
---|---|---|---|---|---|---|
Labor-hours | 3,000 | 3,700 | 5,000 | |||
Capital | $205,000 | $279,600 | $350,000 | |||
Profit | $20,000 | $25,000 | $30,000 |
(a) Building how many of each type of house will maximize his profit?
(b) What is the maximum possible profit?
$
Aries | houses |
Belfair | houses |
Wexford | houses |
(b) What is the maximum possible profit?
$
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