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Suppose you are the manager of a popular cosmetic company. Your top selling brand requires both...

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Mechanical Engineering

Suppose you are the manager of a popular cosmetic company. Yourtop selling brand requires both chemicals and labor. Two productionprocesses are available: Process 1 transforms 1 unit of labor and 2units of chemicals into 3 oz of perfume. Process 2 transforms 2units of labor and 3 units of chemicals into 5 oz of perfume. Itcosts your company $3 to purchase a unit of labor and $2 topurchase a unit of chemicals. Each year, up to 20,000 units oflabor and 35,000 units of chemicals can be purchased. In theabsence of advertising, you believe your company can sell 1,000 ozof perfume. To stimulate demand for your perfume, you can hire amodel. The model is paid $100/hour. Each hour the model works foryour company is estimated to increase the demand for the perfume by200 oz. Each ounce of the perfume sells for $5. Formulate amathematical model that, when solved, maximizes profits.

Do not present your work in Excel.

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