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Exercise 7 Use the method of linear programming to solve the problem. A craftswoman produces two products: floor lamps and table lamps. Production of one
Exercise Use the method of linear programming to solve the problem. A craftswoman produces two products: floor lamps and table lamps. Production of one floor lamp requires minutes of her labor and materials that cost $ Production of one table lamp requires minutes of labor, and the materials cost $ The craftswoman wishes to work no more than hours each week minutes each week and her financial resources allow her to pay no more than $ for materials each week. If she can sell as many lamps as she can make and if her profit is $ per floor lamp and $ per table lamp, how many floor lamps and how many table lamps should she make each week to maximize her weekly profit? What is the maximum profit?
Step : List the constraints and translate them into linear inequalities. Hint: there are four constraints; one for time in minutes one for cost, and two more obvious constraints.
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