In order for Mr. Nordmann to earn his commission, he must sell at least 10 pairs of women shoes and at least 5 pairs of men shoes. define the variables write a system of inequalities

answer:

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

Step-by-step explanation:

Lets the number of men's shoes he sells be x and women's shoes be y.

For each men's shoes , he gets a commission of $3 and for each women's shoe, he gets a commission of $2.30 .

He needs to sell atleast 10 women's shoes and 5 men's shoes.

Also he needs to make atleast $60 per week.

x ≥ 5

y ≥ 10

3x + 2.3y ≥ 60

These are are the 3 required inequalities.

Now we will see an example.

If he sells 20 womens shoes and 10 mens shoes , he will meet the requirements.

He will make a total profit = 2.3\times 20 + 3\times 10 =$76

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