For Exercises, identify the objective function and constraints of the linear programming p...

For Exercises, identify the objective function and constraints of the linear programming problem. Then solve the problem and interpret the real-world meaning of the results.

Furniture Production In June 2004, an online furniture retailer offered the following items at the indicated prices:

Avalon Teak Armchair, $378

 Teak Tennis Bench, $124

 (Source: www.outdoordecor.com.)

Suppose that the number of hours required to produce each item is as shown hi the following table.

The company has a maximum of 200 labor hours available in the Cutting Department, a maximum of 480 labor hours available in the Finishing Department, and a maximum of 150 labor hours available in the Packaging Department. Suppose the company makes a profit of $181 from the sale of each armchair and $57 from the sale of each bench. Assuming that all items produced are sold, how many armchairs and how many benches should the company produce in order to maximize profit?