A company has two products that are processed on two assembly lines. Assembly li

Question

A company has two products that are processed on two assembly lines. Assembly line 1 has 100 available hours and assembly line 2 has 42 available hours. Each product requires 10 hours of processing time on line 1. On line 2, product 1 requires 7 hours and product 2 requires 3 hours. The profit for product 1 is $6 per unit and the profit for product 2 is $4 per unit. Let X1 indicate the amount produced of product 1. Let X2 indicate the amount produced of product 2. Which of the following statements is true about this linear program?

A. 6X1 + 4X2 <= 10 is a constraint

B. The objective minimizes 6X1 + 4X2

C. 10X1 + 10X2 <= 100 is a constraint

D. The objective maximizes 7X1 + 3X2

Explanation / Answer

Constraint on line 1:

10X1 + 10X2 <= 100

constraint on line 2:

7X1 + 3X2 <= 42

and we have to maximize (6X1 + 4X2)

Correct option is C.

10X1 + 10X2 <= 100 is a constraint

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