A factory manufactures three products, A, B, and C. Each product requlres the use of two machines, Machine I and Machlne II. The total hours available, respectively, on Machine I and Machine Il per month are 8,080 and 8,350. The time requirements and profit per unit for each product are listed below. A B Machine I 7 10 10 Machine II| 6 10 12 Profit $10 $16 $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:

A factory manufactures three products, A, B, and C. Each product requlres the use of two machines, Machine I and Machlne II. The total hours available, respectively, on Machine I and Machine Il per month are 8,080 and 8,350. The time requirements and profit per unit for each product are listed below. A B Machine I 7 10 10 Machine II| 6 10 12 Profit $10 $16 $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:

Name: A factory manufactures three products, A, B, and C. Each product requ
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Description: 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 permonth are 8,080 and 8,350. The time requirements and

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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Question

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 8,080 and 8,350. The time requirements and profit per unit for each product are listed
below.
A
Machine I
10
10
Machine II 6
10
12
Profit
$10 $16 $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%3=
subject to:

Start by setting up the linear programming problem, with A, B, and C representing the number of
unlts of each product that are produced.
Maximlze P=
subject to:
< 8,080
< 8,350
Enter the solutlon 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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