# KickIt

Emily Hellwig

April 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.