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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 7 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 75 minutes of her labor and materials that cost $25. Production of one table lamp requires 50 minutes of labor, and the materials cost $20. The craftswoman wishes to work no more than 40 hours each week (2400 minutes each week), and her financial resources allow her to pay no more than $900 for materials each week. If she can sell as many lamps as she can make and if her profit is $39 per floor lamp and $33 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 2: 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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