20.)
Zen Inc. manufactures two types of products, the G1 and the T1model airplane. The manufacturing process consists of two principaldepartments: production and assembly. The production department has58 skilled workers, each of whom works 7 hours per day. Theassembly department has 25 workers, who also work 7-hour shifts. Onan average, to produce a G1 model, Zen Inc. requires 3.5 laborhours for production and 2 labor hours for assembly. The T1 modelrequires 4 labor hours for production and 1.5 labor hours inassembly. The company anticipates selling at least 1.5 times asmany T1 models as G1 models. The company operates five days perweek and makes a net profit of $130 on the G1 model, and $150 onthe T1 model. Zen Inc. wants to determine how many of each modelshould be produced on a weekly basis to maximize net profit.
If the numbers of G1 and T1 products produced each week aredenoted as G and T respectively, the function that describes Zen,Inc.’s sales prediction for a week is
