Tony Starks company makes two types of bullet proof iron sui

Tony Stark’s company makes two types of bullet proof “iron suits”: Super Red and Invincible Blue. These iron suits are made of two types of special metals: metal A and metal B. Each Super Red suit requires 3 pounds of metal A and 1 pound of metal B. Each Invincible Blue suit requires 1 pound of metal A and 2 pounds of metal B. The profit for each Super Red suit is $100 dollars and the profit for each Invincible Blue suit is $120. Due to government regulations, Tony can only obtain 450 pounds of metal A and 300 pounds of metal B per month. Tony also needs to produce at least 50 Invincible Blue suits per month to fulfill a government contract. The demand for the iron suits is high and all the suits made will be sold. As Tony’s Chief Operations Officer, Tony wants you to find a production plan (i.e., the number of suits for each type to produce) to maximize his monthly profit.

You decide to formulate the production planning problem as a linear program, and define the decision variable as follows.

Let x be the number of Super Red suits to make per month.

Let y be the number of invincible Blue suits to make per month.

1. What is the objective function?

A) max x + y

B) max 100x + 120y

C) max 120x + 100y

D) max 300x + 450y

Next, choose answers for 7.3.b-7.3.e from the following equations

A) x + y 450

B) x + y 300

C) 3x + y 450

D) x + 2y 300

E) y 50

F) x 0

G) x 6= 0

2.Which constraint represents metal A’s availability?

3. Which constraint represents metal B’s availability?

4. Which constraint represents the minimum requirement of Invincible Blue suits?

Solution