Set-up and Solve the following linear programming problem.

A furniture manufacturer makes two types of furniture chairs and sofas.

Manufacture of a chair requires 6 hours of carpentry, 1 hour of finishing, and 2 hours of upholstery.

Manufacture of a sofa requires 3 hours of carpentry, 1 hour of finishing, and 6 hours of upholstery.

Due to limited availability of skilled labor, tools, and equipment, the factory has 96 labor-hours for carpentry, 18 labor-hours for finishing, and 72 labor-hours for upholstery available each day.

The profit per chair is $80, and the profit per sofa is $70.

What is the maximum daily profit?

The maximum daily profit is Blank 1. Fill in the blank, read surrounding text. dollars.

Do NOT use the $ sign in your answer.

How many chairs and how many sofas should be produced each day to maximize the profit?

Give the number of chairs.

The number of chairs is Blank 2. Fill in the blank, read surrounding text. chairs.