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KickItEmily HellwigApril 21st, 2015

Providing soccer products to people across the globe. We sell products such as soccer cleats and soccer balls. We offer different colors and sizes for a wide range of people.

Restrictions

I wont be able to make more than 200 pairs of soccer cleats and no more than 350 soccer balls to keep below \$1,000 a month.

Inequalities

c = number of soccer cleats, b = number of soccer balls

c≥0, c≤200

b≥0, b≤350

c + b ≤ 1000

50c + 25b ≤ 1000

Cost and Selling Prices

I would sell a pair of soccer cleats for \$100 each and a soccer ball for \$40 each. The production cost of making a pair of soccer cleats is \$50 and to make a soccer ball, it is \$25 each.

Profits vs Costs

c = number of soccer cleats, b = number of soccer balls

Cost = 50c + 25b

Sell = 100c + 40b

Profit = sell - cost

Profit = (100c-50c) + (40b-25b)

Profit = 50c + 15b

Maximized Profits

(0,350) P= 50(0) + 15(350) = \$5,250

(0,40) P=50(0) + 15(40) = \$600

(200,0) P=50(200) + 15(0) = \$10,000

I will maximize my profits by making 200 pairs of soccer cleats a month.