Question #3e5e5

1 Answer
Dec 10, 2017

1.10x>29+.43x
Solving the inequality yields that he must sell at least 44 cones to make a profit.

Explanation:

Kevin has a cost of running his business equal to the cost of renting equipment plus the ice cream cone ingredient cost.

So the cost equation is
C=$29+$0.43x
where x equals the number of ice cream cones produced.

Kevin also has a revenue equation which describes how much money he takes in.
The revenue is given by
R=$1.10x where x is the number of ice cream cones sold.

Kevin will make a profit when revenue is greater than cost. Profit occurs when
R>C
Or substituting equations above for R and C
1.10x>29+.43x
Solving by subtracting .43x from both sides gives
.67x>29
Dividing by .67 gives
x=43.3
So needs to sell 44 ice cream cones to start making a profit.