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 Belfaic and the Wexford. The following table gives the number of lots, labor-hours and the amount of capital needed for each type of house. There are 13 lots, $2,400 labor-hours, and $3,684,200 of capital available for the contractor's use. The profit on the Aries is $20,000, the profit on the Belfair is $25,000 and the profit on the Wexford is $30,000. Aries Belfair Lots Belfair Wexford 1 3,000 $205,000 1 3,700 $279,600 Labor-hours 5,000 Capital $350,000 (a) Building how many of each type of house will maximize his profit? Aries houses houses houses Wexford (b) What is the maximum possible profit?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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 Belfaic and the Wexford. The following table gives the number of lots, labor-hours and the amount of capital needed
for each type of house. There are 13 lots, 52,400 labor-hours, and $3,684,200 of capital available for the contractor's use. The profit on the Aries is $20,000, the profit on
the Belfair is $25,000 and the profit on the Wexford is $30.000.
Belfair
Wexford
Locs
Aries
Submit Answer
1
3,000
$205,000
1
Labor-hours
5,000
3,700
$279,600 $350,000
Capital
(a) Building how many of each type of house will maximize his profit?
Aries
houses
houses
houses
(6) What is the maximum possible profit?
$
Belfair
Wexford
Transcribed Image Text: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 Belfaic and the Wexford. The following table gives the number of lots, labor-hours and the amount of capital needed for each type of house. There are 13 lots, 52,400 labor-hours, and $3,684,200 of capital available for the contractor's use. The profit on the Aries is $20,000, the profit on the Belfair is $25,000 and the profit on the Wexford is $30.000. Belfair Wexford Locs Aries Submit Answer 1 3,000 $205,000 1 Labor-hours 5,000 3,700 $279,600 $350,000 Capital (a) Building how many of each type of house will maximize his profit? Aries houses houses houses (6) What is the maximum possible profit? $ Belfair Wexford
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