The word problem is as follow: The Bookholder Company manufacturers two types of bookcases out of oak and walnut. Model 01 reuires 5 board feet of oak and 2 board feet of walnut. Model 02 requires 4 board feet of oak and 3 board feet of walnut. A profit of $75 is made on Model 01 bookcase and a profit of $125 is made of Model 02 bookcase. The company has a supply of 1000 board feet of oak and 600 board ft. of walnut. The company has orders for 40 Model 01 bookcases and 50 Model 02 bookcases. These orders indicate the min. number the company must manufacture of each model.

Write the set of constraints

Write the objective function

Graph the set of constraints

Determine the number of bookcases of each type the company should manufacture in order to maximize the profits.

Determine the max. profit