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Alpha Metallic manufactures two models of desks used for offices. Manufacturing each heavy model requires 15 lb of metal and 12 min of labor. Manufacturing each standard model requires 10 lb of metal and 16 min of labor. The profit from each heavy model is $28, and the profit for each standard model is $22.
If a maximum 460 lb of metal and 520 labor minutes are to be used every day for production of desks:
a) How many desks of each model should Alpha Metallic produce each day in order to maximize its profit?
b) What is the optimal value of profit?
c) Determine the production combination if the profit of each heavy model becomes $20 while each standard model gives $35.
Hint: Feel free to use either corner method or the objective function line analysis to answer the questions.
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