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 = ubject to: ≤ 7,090 ≤ 10,940 mter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. he maximum profit is $ when the company produces: units of product A

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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 7,090 and
10,940. The time requirements and profit per unit for each product are listed below.
A B
C
Machine I 5 8
10
Machine II 10 9 16
Profit
$10 $13 $18
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:
≤7,090
≤ 10,940
Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places.
The maximum profit is $
units of product A
units of product B
units of product C
when the company produces:
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 7,090 and 10,940. The time requirements and profit per unit for each product are listed below. A B C Machine I 5 8 10 Machine II 10 9 16 Profit $10 $13 $18 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: ≤7,090 ≤ 10,940 Enter the solution below. If needed round numbers of items to 1 decimal place and profit to 2 decimal places. The maximum profit is $ units of product A units of product B units of product C when the company produces:
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