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 7,050 and 9,340. The time requirements and profit per unit for each product are listed below. A В C Machine I 4 Machine II 8 9. 11 7 16 Profit $10 $12 $14 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: s7,050 < 9,340 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

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 7,050 and 9,340. The time requirements and profit per unit for each product are listed below. A В C Machine I 4 Machine II 8 9. 11 7 16 Profit $10 $12 $14 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: s7,050 < 9,340 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

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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Concept explainers

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.

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 II per month
are 7,050 and 9,340. The time requirements and profit per unit for each product are listed below.
B
C
Machine I
4.
9.
11
Machine II 8
7
16
Profit
$10 $12 $14
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:
s7,050
< 9,340
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
esc
D00
F1
F2
F3
F4
@

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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 7,760 and 10,080. The time requirements and profit per unit for each product are listed below. ABC Machine I 7 9 10 Machine II 8 10 16 $12 $16 $22 Profit 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: <7,760 s 10,080 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