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3.  The Hi Tech Company is making three models of computer d…

3.  The Hi Tech Company is making three models of computer desks: an executive model, an office model, and a student model.  Construction of the executive model requires 2 hours in the cabinet shop, 1 hour in the finishing department, and 1 hour in the crating department.  The office model requires 1 hour, 2 hours, and 1 hour respectively, in these departments, while the student model requires 1 hour, 1 hour, and ½ hour, respectively, in these departments.  On a daily basis, the cabinet shop has 16 hours available; the finishing department, 16; and the crating department, 10.  If the company realizes a profit of $150 on each executive model, $125 on each office model, and $50 on each student model, how many of each type of computer desk should it make and sell to maximize profits?  SET UP THE LINEAR PROGRAMMING PROBLEM {the constraints and function}.  DO NOT SOLVE. {8 pt.}