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.).
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.).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.).
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