Muy Bueno Bakery sells three different products. Currently, it is not able to meet all of its customers' demand. Using the following information, determine the price of the cake needed to meet the same contribution margin as the pie.

Cake Pie Cookies
Contribution margin $18 $11 $3
Production hours 3 1 0.30
Variable cost $12 $7 $1
Contribution margin/hour $6 $11 $10
Current selling price $30 $18 $5