Zen Inc Manufactures Two Types of Products, the G

question 7

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. What is the projected profit at the maximized number of units produced?
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Let the number of G.1 product produced each week be G
Let the number of T.1 product produced each week be T
Maximize 130G + 150T
production's labor constraint 3.5G + 4T <= 2030
assembly's labor constraint 2G + 1.5T <= 875

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Definitions:

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A short-lived political party in the United States (1848–1854) focused on opposing the expansion of slavery into the Western territories, advocating for "free soil, free speech, free labor, and free men."

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