A consumer staples company produces two types of soap: regular and mois- turizing. It costs $3 to produce a half-dozen pack of regular soap. The cost of producing a half-dozen pack of moisturizing soap is $4. Assume the demand function for half-dozen pack of soaps are given by
Q1= 58 - 15P1 + 10 P2 , Q2= 72 + 8P1 - 12 P2
Determine the price/quantity combination for each soap to maximize profit.