Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and II are 860, 1740, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. Product: Product Product 了TT A B Dept. I Dept. II Dept. III Profit 2 2 3 2 2 2 1 $20 $12 $15 Maximize P = subject to the constraints Department I How many units of each product should the company produce in order to maximize its profit, P in dollars? Department II Department II x20 y 20 z20

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Formulate but do not solve the following exercise as a linear programming problem.
A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 860,
1740, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows.
Product
Product
Product
A
B
C
Dept. I
Dept. II
Dept. III
1
2
3
2
2
1
Profit
$20
$12
$15
Maximize
P =
subject to the constraints
Department I
How many units of each product should the company produce in order to maximize its profit, P in dollars? Department II
Department III
x2 0
y 2 0
z 20
Transcribed Image Text:Formulate but do not solve the following exercise as a linear programming problem. A company manufactures x units of product A, y units of product B, and z units of product C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 860, 1740, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. Product Product Product A B C Dept. I Dept. II Dept. III 1 2 3 2 2 1 Profit $20 $12 $15 Maximize P = subject to the constraints Department I How many units of each product should the company produce in order to maximize its profit, P in dollars? Department II Department III x2 0 y 2 0 z 20
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