A company manufactures Products A, B, and 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 960, 1140, and 900, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows.   Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15 If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit? product A=? product B=? product C=? What is the maximum profit (in dollars)? $

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 67E
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A company manufactures Products AB, and 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 960, 1140, and 900, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows.
  Product
A
Product
B
Product
C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. II 2 2 1
Profit $18 $12 $15
If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit?
product A=?
product B=?
product C=?
What is the maximum profit (in dollars)?
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