Tony Starks company makes two types of iron suits Super Red

Tony Stark’s company makes two types of “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 2.5 pounds of metal A and 2 pounds of metal B. Each Invincible Blue suit requires 3 pounds of metal A and 1.6 pounds of metal B. The profit for each Super Red suit is $125 and the profit for each Invincible Blue suit is $140. Due to suppliers\' capacity limits, Tony can only obtain 300 pounds of metal A and 450 pounds of metal B per month. Tony also needs to produce at least 50 Invincible Blue suits per month to fulfill a contract. Tony wants to find a production plan (i.e., the number of Super Red and Invincible Blue suits to make) to maximize his monthly profit.

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.

Tony has formulated this decision problem as a linear program and solved it with Excel Solver. He obtained the following report from Excel Solver.

Solution

Tony wants to find a production plan (i.e., the number of Super Red and Invincible Blue suits to make) to maximize his monthly profit.

X = 60 number of Super Red suits to make per month

Y= 50 number of Invincible Blue suits to make per month.

max Z = 125*60 + 140*50 = 14500

Z = $14,500