Linear Programming 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 P250. Production of one table lamp requires 50 minutes of labor, and the materials cost P200. The craftswoman wishes to work no more than 40 hours each week, and her financial resources allow her to pay no more than P9,000 for materials each week. She can sell as many lamps as she can make and her profit is P390 per floor lamp and P330 per table lamp. 1. Identify the variables. 2. Set up the objective function. 3. Give the constraints in mathematical expression. 4. Graph the constraints and identify the solution. 5. How many floor lamps and how many table lamps should she make each week to maximize her weekly profit? 6. What is that maximum profit per week?
Linear Programming
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 P250. Production of one table lamp requires 50 minutes of labor, and the materials cost P200. The craftswoman wishes to work no more than 40 hours each week, and her financial resources allow her to pay no more than P9,000 for materials each week. She can sell as many lamps as she can make and her profit is P390 per floor lamp and P330 per table lamp.
1. Identify the variables.
2. Set up the objective function.
3. Give the constraints in mathematical expression.
4. Graph the constraints and identify the solution.
5. How many floor lamps and how many table lamps should she make each week to maximize her weekly profit?
6. What is that maximum profit per week?
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