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 5,880 and 8,840. The time requirements and profit per unit for each product are listed below. A B C Machine I 4 9 6 Machine II 6 7 16 Profit $12 $17 $20 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: Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ < 5,880 < 8,840 units of product A units of product B units of product C when the company produces:
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 5,880 and 8,840. The time requirements and profit per unit for each product are listed below. A B C Machine I 4 9 6 Machine II 6 7 16 Profit $12 $17 $20 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: Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ < 5,880 < 8,840 units of product A units of product B units of product C when the company produces:
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 5,880 and 8,840. The time requirements and profit per unit for each product are listed
below.
C
Machine 14
9 6
Machine II 6 7 16
Profit
$12 $17 $20
A B
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:
Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2
decimal places.
The maximum profit is $
≤ 5,880
<8,840
units of product A
units of product B
units of product C
when the company produces:
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