Answered: (a) Building how many of each type of…

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?

Aries	houses
Belfair	houses
Wexford	houses

(b) What is the maximum possible profit?
$

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