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In: Advanced Math

A company manufactures Products A, B, and C. Each product is processed in three departments: I,...

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 900, 1080, and 840, respectively. The time requirements (in hours per unit) and profit per unit for each product are as follows. (For example, to make 1 unit of product A requires 2 hours of work from Dept. I, 3 hours of work from Dept. II, and 2 hours of work from Dept. III.)

Product A Product B Product C
Dept. I 2 1 2
Dept. II 3 1 2
Dept. III 2 2 1
Profit $66 $44 $55

How many units of each product should the company produce in order to maximize its profit?

Product A     units
Product B     units
Product C     units


What is the largest profit the company can realize?
$  

Are there any resources left over? (If so, enter the amount remaining. If not, enter 0.)

labor in Dept. I     labor-hours
labor in Dept. II     labor-hours
labor in Dept. III     labor-hours

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