Cost function: C(x) = 1200 + 5x
Revenue function: R(x) = 20x
To find the breakeven point, we need to set the cost function equal to the revenue function and solve for x:
1200 + 5x = 20x
1200 = 15x
x = 80
Therefore, 80 bottles of lotion must be sold to break even.
You can use the Desmos graphing calculator to graph the cost and revenue functions, and find the point of intersection to verify the solution.
It costs 1200 dollars plus 5 dollars per bottle to make lotion. Write an equation model the cost of making the lotion. The lotion sells for 20 dollars per bottle. Write an equation to model the revenue from selling the bottles of lotion. Use the desmos graphing calculator to determine the number of lotion bottles that must be sold to break even.
1 answer
1 answer