The Watts Manufacturing Company manufactures and sells AM and FM radios. The production of an AM radio requires 4 hours, while the manufacture of an FM radio requires 6 hours. In the plant there is a total available of 96 man-hours per week for production. The company's administrators have determined that the maximum that can be sold per week are 30 AM radios and 20 FM radios. The contribution to the utility for each AM radio sold is $ 6 and each FM radio contributes $ 12 to the profits.
What is the objective function of the problem?
a) Zmax = 6AM+12FM
b) Zmin = 6AM+12FM
c) Zmax = 30AM+20FM
d) Zmax = 4AM+6FM