Use the method of linear programming to solve the problem. Acraftswoman 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 4: Graph the region of possible solutions (by finding the x and y intercepts for each inequality, or any two points for vertical and horizontal inequalities.). 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 4: Graph the region of possible solutions (by finding the x and y intercepts for each inequality, or any two points for vertical and horizontal inequalities.).