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 5,310 and 9,580. The time requirements and profit per unit for each product are listed below. A B C Machine I 4 8 6 Machine II 10 8 14 Profit $12 $16 $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 5,310 $ 9,580 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 when the company produces:

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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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 II per month are 5,310 and
9,580. The time requirements and profit per unit for each product are listed below.
A
B
C
Machine I 4 8 6
Machine II 10 8 14
Profit $12 $16 $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:
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
Submit Question
A
@
W
≤ 5,310
≤ 9,580
с
#3
E
S4
$
R
%
5
T
U
9
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 II per month are 5,310 and 9,580. The time requirements and profit per unit for each product are listed below. A B C Machine I 4 8 6 Machine II 10 8 14 Profit $12 $16 $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: 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 Submit Question A @ W ≤ 5,310 ≤ 9,580 с #3 E S4 $ R % 5 T U 9
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