Five types of clothing products are manufactured in a factory, for which various resources are used up. The amount of resources used for the products, the capacities of resources, and the resulting gain per piece (unit gain) are summarized in the table below.

 

Resources

Products

Resource capacities

Trousers

Jackets

Blouses

Shirts

Skirts

1st textile (m)

2nd textile (m)

3rd textile (m)

thread (m)

Work hours

2.3

0.4

0

20

0.5

3.1

1.1

0.5

40

1

0

0.5

1.2

10

0.3

0

0

2.0

15

1

1.9

1.3

0.5

15

0.4

300

400

120

4000

100

Unit gain (Ft)

2000

4000

600

1500

1800

 

 

The task: How much of each product to produce, where the aim is to maximize profits?