A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. A B C Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 < 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c
A factory manufactures three products, A, B, and C. Each product requires the use of two machines, Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. A B C Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit How many units of each product should be manufactured to maximize profit, and what is the maximum profit? Start by setting up the linear programming problem, with A, B, and C representing the number of units of each product that are produced. Maximize P = subject to: <7,760 < 10,080 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ when the company produces: units of product A units of product B units of product c
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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Transcribed Image Text:A factory manufactures three products, A, B, and C. Each product requires the use of two machines,
Machine I and Machine II. The total hours available, respectively, on Machine I and Machine Il per
month are 7,760 and 10,080. The time requirements and profit per unit for each product are listed
below.
ABC
Machine I 7 9 10
Machine II 8 10 16
$12 $16 $22
Profit
How many units of each product should be manufactured to maximize profit, and what is the
maximum profit?
Start by setting up the linear programming problem, with A, B, and C representing the number of
units of each product that are produced.
Maximize P =
subject to:
<7,760
s 10,080
Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2
decimal places.
The maximum profit is $
when the company produces:
units of product A
units of product B
units of product c
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