Question

A company produces two products. Four types of raw material are required to produce them. Product A consists of 30% of material 1, 40% of material 2, 20% of material 3, and 10% of material 4. Product B consists of 50% of material 1, 20% of material 2, 10% of material 3, and 20% of material 4. Unit profits are $50 for product A and $40 for product B. Currently, the company has 800 units of material 1, 600 units of material 2, 400 units of material 3, and 300 units of material 4. The management is trying to determine how many units of each product to make. Let Mi be the amount of material i used in production, and A and B be the amount of products A and B produced, respectively. Which of the following is a valid constraint to model this scenario?

A) .3A + .5B <= M1

B) M1 + M2 + M3 + M4 >= 2100

C) .1A + .2B <= 300

D) .3M1 + .4M2 + .2M3 + .1M4 <= 590

Answer 1

Thank you.