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