(a) Building how many of each type of house will maximize his profit? Aries houses Belfair houses Wexford houses (b) What is the maximum possible profit? $
(a) Building how many of each type of house will maximize his profit? Aries houses Belfair houses Wexford houses (b) What is the maximum possible profit? $
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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