If a company produces two products,1 and 2,represented by x₁ and x₂,and the profit from product 1 is $100 and the profit from product 2 is $50,and the material required to produce one unit of product 1 is 4 lbs.and the labor required to produce one unit of product 2 is 6 lbs.and there are 500 hours of labor available that can be used,the linear programming constraint for material is A)100x₁ + 50x₂= 500 D)4x₁ + 6x₂

Question

If a company produces two products,1 and 2,represented by x₁ and x₂,and the profit from product 1 is $100 and the profit from product 2 is $50,and the material required to produce one unit of product 1 is 4 lbs.and the labor required to produce one unit of product 2 is 6 lbs.and there are 500 hours of labor available that can be used,the linear programming constraint for material is A)100x₁ + 50x₂<= 500 B)4x₁ + 6x₂ = 500 C)4x₁ + 6x₂ >= 500 D)4x₁ + 6x₂ <= 500

Quizplus · Accepted Answer

Since we have 500 hours of labor available, the constraint for labor is 4x₁ + 6x₂ <= 500. This is because each unit of product 1 requires 4 lbs. of material, and each unit of product 2 requires 6 hours of labor. We want to maximize profit, so we want to produce as much of both products as possible while staying within our constraints. Therefore, the correct choice is D.

If a Company Produces Two Products,1 and 2,represented by X1

If a Company Produces Two Products,1 and 2,represented by X₁