Zen, Inc Manufactures Two Types of Products, the G

Essay

Zen, Inc. manufactures two types of products, the G.1 and the T.1 models. The manufacturing process consists of two principal departments: production and assembly. The production department has 58 skilled workers, each of whom works 7 hours per day. The assembly department has 25 workers, who also work a 7-hour shift. On an average, to produce a G.1 model, Zen, Inc. requires 3.5 labor hours for production and 2 labor hours for assembly. The T.1 model requires 4 labor hours for production and 1.5 labor hours in assembly. The company anticipates selling at least 1.5 times as many T.1 models as G.1 models. The company operates five days per week and makes a net profit of $130 on the G.1 model, and $150 on the T.1 model. Zen, Inc. wants to determine how many of each model should be produced on a weekly basis to maximize net profit. Formulate the problem.
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Let G = the number of G.1 product produced each week.
Let T = the number of T.1 product produced each week.
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Maximize 130G + 150T
s.t.
production's labor constraint 3.5G + 4T ≤ 2030
assembly's labor constraint 2G + 1.5T ≤ 875
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