Problem 1 A car company is considering manufacturing three types of cars: small, economic, and luxury. The resources required for, and the profited yielded by, each type of car shown in table 1. Currently 8,000 tons of steel and 100,000 hours of labor are available. For production of a type to be economically feasible, at least 1,000 of that type must be produced. Formulate an IP to maximize the company profit. Table 1 Resources Small car Economic car Luxury car Steel required 3.2 tons 4 tons 8 tons Labor required 40 hours 25 hours 50 hours Profit yielded (5) 1.000 4000 5.000