Dorian Auto is considering manufacturing three types of autos: compact, midsize and large. The resource required for, and the profits yielded by, each type of car are shown below:

Currently 6,000 tons of steel and 60,000 hours of labor are available. For production of a type of car to be economically feasible, at least 1,000 cars of that type must be produced. Formulate an IP to maximize Dorians profit. Notice that for this problem you will need to find a number M to bound the maximum amount of cars of a given type that can be build.

Compact Midsize Large Resource Steel required (ton) Labor required (hour) 1.5 30 3 25 40 Profit yielded (S) 2,000 3,000 4,000 Compact Midsize Large Resource Steel required (ton) Labor required (hour) 1.5 30 3 25 40 Profit yielded (S) 2,000 3,000 4,000