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A manufacturer of ski clothing makes ski pants and ski jackets. The profit on a pair of ski pants is $3 and on a jacket is $2. Both pants and jackets require the work of sewing operators and cutters. There are 60 minutes of sewing operator time and 48 minutes of cutter time available. It takes 8 minutes to sew one pair of ski pants and 4 minutes to sew one jacket. Cutters take 4 minutes on pants and 8 minutes on a jacket. The manufacturer wants to make a minimum of 4 ski pants and 2 ski jackets, Let x represent the number of ski pants. Let y represent the number of ski jackets.

A manufacturer of ski clothing makes ski pants and ski jackets The profit on a pair of ski pants is 3 and on a jacket is 2 Both pants and jackets require the wo class=
A manufacturer of ski clothing makes ski pants and ski jackets The profit on a pair of ski pants is 3 and on a jacket is 2 Both pants and jackets require the wo class=

Respuesta :

For the sewing operator:

[tex]8x\text{ + 4y }\leq\text{ 60}[/tex]

For cutter:

[tex]4x\text{ + 8y }\leq48[/tex]

The two above equation is solve to obtain the graph

The solution of the graph is where the two lines meet

The coordinate is (10, 4), at the this point the maximum profit is made

So 10 ski pants and 4 ski jackets is made to get maximum profit

The profit made is given by

P = 3x + 2y

x =10 , y = 4

P = 3(10) + 2(4)

P = 30 + 8 = $38

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