Question

Suppose that a furniture manufacturer makes​ chairs, sofas, and tables. Consider the following chart of labor...

Suppose that a furniture manufacturer makes​ chairs, sofas, and tables. Consider the following chart of labor hours required and available.

Chair

Sofa

Table

Daily labor available​ (labor- hours)

Carpentry

6

3

8

720

Finishing

1

1

2

144

Upholstery

4

6

0

320

The profit per chair is

​$70​,

per sofa

​$50​,

and per table

​$100.

How many pieces of each type of furniture should be manufactured each day to maximize the​ profit?

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