Please answer what is the best option 1, 2, 3 or 4 and why.

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.

Answer Choice Group

1. Optimal solution Tables = 20 Chairs = 80 Maximum profit = $2,600
2. Optimal solution Tables = 80 Chairs = 20 Maximum profit = $6,200
3. Optimal solution Tables = 80 Chairs = 20 Maximum profit = $2,600

It consists of seeking the optimization of allocation models. It was primarily designed for manual calculations, which are now replaced by computer applications that simplify the solution of assignment problems. Answer Choice Group

1. Simplex
2. Graphic
3. Hungarian
4. Algebraic

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? Answer Choice Group

1. 4x1 + 9.5x2 38
2. F(x)= 4x1 + 8.5x2
3. x1 + x2 7.5
4. x1 0, x2 0