Tony Starks company makes two types of iron suitsSuper Red a

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 S125 and the profit for each Invincible Blue suit is S140. Due to suppliers\' capacity limits, 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 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. Use the report to answer the following questions. What is the maximum profit at the optimal solution? Suppose the profit per Invincible Blue suit was underestimated by $30 (i.e., the profit per blue suit is only $110). Should Tony change the production plan? If Tony can get 10 more pounds of metal A per month, how much would the objective function value change?

Solution

Z = 90*125 + 70*140 = 21750

No then profit decreases by number of suits produced is the same

Profit increases by $400