Find the Constraint Inequalities and the Profit Formula for This

question 59

Essay

Find the constraint inequalities and the profit formula for this linear programming mixture problem: The Acme Construction Company builds two types of houses. Plan A requires 200 man-hours for rough construction and 70 man-hours for finish work. Plan B requires 300 man-hours for rough construction and 50 man-hours for finish work. Acme has carpenters available to provide up to 900 hours of rough construction per month and 260 hours of finish work per month. If Acme clears $7000 profit on a Plan A house and $8000 profit on a Plan B house, how should they schedule production to maximize profit?

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