MODELINGProfit from Bookcases The Bookholder Company
Chapter 7, Problem 597(choose chapter or problem)
MODELINGProfit from Bookcases The Bookholder Company manufactures two types of bookcases out of both oak and walnut. Model 01 requires 5 board feet of oak and 2 board feet of walnut. Model 02 requires 4 board feet of oak and 3 board feet of walnut. A profit of $75 is made on each Model 01 bookcase and a profit of $125 is made on each Model 02 bookcase. The company has a supply of 1000 board feet of oak and 600 board feet of walnut. The company has orders for 40 Model 01 bookcases and 50 Model 02 bookcases. These orders indicate the minimum number the company must manufacture of each model. a) Write the set of constraints. b) Write the objective function. c) Graph the set of constraints. d) Determine the number of bookcases of each type the company should manufacture in order to maximize profits. e) Determine the maximum profit.
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