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# Courteney's Turtle Territory

### Courteney BrownCollege Algebra 6th hour 4/29/14

My business is selling turtles. We are starting out with 2 types of turtles available for customers to buy. The first type is a Redfoot Turtle and the second type is a Russian Tortoise.

# Restrictions

I can only hold up to 5o of the Redfoot turtles and 50 of the Russian Tortoises in my shop. I can only sell the Redfoot turtles for \$50 each and the Russian Tortoises for \$60 each.

# Systems of Inequalities

x=Number of Redfoot Turtles

y=Number of Russian Tortoises

Profit Equation:

Sell

100x+110y=S

Cost

50x+60y=C

Profit

50x+50y=P

Restrictions:

50x+60y<10000

x<50

y<50

# Maximum Profit

Vertices of the feasible region:

Profit = 50x+50y

1: (50,0)  2: (50,50)  3: (0,50)

1: 50(50)+50(0) = \$2500

2: 50(50)+50(50)= \$5500

3: 50(0)+50(50) = \$3000

# Conclusion

To make the most profit, I should sell 50 Redfoot Turtles and 50 Russian Tortoises.