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# Running Fast, Having Fun.

Here at Running Fast, Having Fun we specialize in selling running shoes and racing spikes. Both of these shoes will be made specifically for women.

I will not be able to get more than 100 running shoes per month. And no more than 80 racing spikes per month. For the first few months I will not be able to spend more than \$1200 per month

### Restrictions: Systems of inequalities

x = # of Running Shoes per month; y = # of Racing Spikes per month

X > 0, X < 80

Y > 0, Y < 100

55x + 35y < 1,200

### Business Plan: Cost and Selling prices.

The running shoes will cost \$55 to produce each pair. The racing spikes will cost \$35 to produce each pair.

I can sell each pair of running shoes for \$130. I can sell the racing spikes for \$90 per pair.

x = # of Running Shoes per month; y = # of Racing Spikes per month

Cost = 55x + 35y

Sell = 130x + 90y

Profit = sell - cost

Profit= (130x + 90y) - (55x +35y) OR

Profit = 75x + 55y

### Maximize Profits

(0,34) p= 75(0) + 55(34)= \$1870

(22,0) p= 75(22) + 55(0)= \$1650

(10,19) p= 75(10) + 55(19)= \$1795

(18,6) p= 75(18) + 55(6)= \$1680

I will maximize my profits if I sell 34 racing spikes and 0 running shoes.