The truck-assembly division of a large company produces two different models: the Aztec and the Bronco. Their basic operation consists of separate assembly departments: drive-train, coachwork, Aztec final, and Bronco final. The drive-train assembly capacity is limited to a total of 4000 units per month, of either Aztecs or Broncos, since it takes the same amount of time to assemble each. The coachwork capacity each month is either 3000 Aztecs or 6000 Broncos. The Aztecs, which are vans, take twice as much time for coachwork as the Broncos, which are pickups. The final assembly of each model is done in separate departments because of the parts availability system. The division can do the final assembly of up to 2500 Aztecs and 3000 Broncos each month.
The profit per unit on each model is computed by the firm as follows:
a) Formulate a linear program to aid management in deciding how many trucks of each type to produce per month.
b) What is the proper objective function for the division?
c) How many Aztecs and Broncos should the division produce each month?