What is the objective function for this problem? Are you to maximize it or minimize it?
A wood shop manufactures tables and desks. To produce each table requires 1 hour of labor, 10 square feet of wood, 3 quarts of stain, and 2 quarts of finish. To produce each desk requires 2 hours of labor, 10 square feet of wood, 2 quarts of stain, and 1 quart of finish. The shop has available at most 60 hours of labor, at most 350 square feet of wood, at most 84 quarts of stain, and at most 55 quarts of finish. The tables yield a profit of $175 and the desks yield a profit of $145. Find the number of each type of furniture to be made to maximize the shop’s profit. What is the maximum profit?
- What is the objective function for this problem?
Are you to maximize it or minimize it?
b) Give all the restraints for the problem.
c) Graph the restraints and label the region of feasibility.
You will NOT be able to enter the graph here.
d) What are the vertices for the region of feasibility?
e) Give the solution for the linear programming problem.
Step by step
Solved in 6 steps with 2 images
