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 8,240 and
9,010. The time requirements and profit per unit for each product are listed below.
ABC
10 12
Machine I 7
Machine II 9 10 13
Profit
$11 $13 $19
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:
s 8,240
≤ 9,010
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

Question

05-11-2022
Mathematics

Answered

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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 8,240 and
9,010. The time requirements and profit per unit for each product are listed below.
ABC
10 12
Machine I 7
Machine II 9 10 13
Profit
$11 $13 $19
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:
s 8,240
≤ 9,010
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

Sagot :

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