Woodcrafters Corporation manufactures two different miniature models of furniture, a table and a chair. The company has 500 feet of lumber, 400 machine hours, and 600 direct labor hours available for production. The miniature tables and chairs provide $5 and $4 of contribution margin, respectively.
The time and lumber requirements to build a miniature table or chair are as follows:

a. What is the objective function being maximized?
b. What are the constraint equations?
c. Graph the constraint equations. Identify the feasible region.
d. What is the optimal solution?

Question

Woodcrafters Corporation manufactures two different miniature models of furniture, a table and a chair. The company has 500 feet of lumber, 400 machine hours, and 600 direct labor hours available for production. The miniature tables and chairs provide $5 and $4 of contribution margin, respectively.
The time and lumber requirements to build a miniature table or chair are as follows:
  
a. What is the objective function being maximized?
b. What are the constraint equations?
c. Graph the constraint equations. Identify the feasible region.
d. What is the optimal solution?

Quizplus · Accepted Answer

The Answer of Woodcrafters Corporation manufactures two different miniature models of furniture, a table and a chair. The company has 500 feet of lumber, 400 machine hours, and 600 direct labor hours available for production. The miniature tables and chairs provide $5 and $4 of contribution margin, respectively.
The time and lumber requirements to build a miniature table or chair are as follows:
  
a. What is the objective function being maximized?
b. What are the constraint equations?
c. Graph the constraint equations. Identify the feasible region.
d. What is the optimal solution?

Woodcrafters Corporation Manufactures Two Different Miniature Models of Furniture, a Table