A company manufactures two products, tables and chairs. The sales volume of the tables is at least 80% of the total sales of tables and chairs. However, the company cannot sell more than 100 table units per day. Both products use a raw material, whose maximum daily availability is 240 lbs. The raw material consumption rates are 2 lb per unit of tables and 4 lb per unit of chairs. Table and chair utilities are $20 and $50, respectively. Determine the optimal mix of products for the company. Use the graphical method.

 

A carpenter wants to determine the number of chairs and tables that he must produce the next day in order to maximize his profit. 1.- It has 38 m2 of wood and has 7.5 hrs/man. 2.- 4 m2 and 1 hour/man are required to make each chair; and 9.5 m2 of wood and 1 hour/man to make each table. 3.- It is assumed that everything produced is sold and that the profit per chair is $4.0, while the profit per table is $8.5 4.- What is the objective function that must be maximized?

1.