A baker wants to know how many dozens of bagels to bake each day in order to maximize prot.

A baker wants to know how many dozens of bagels to bake each day in order to maximizeprofit. For any given day, the probability distribution of the number of bagel customers isgiven byCustomers (C) 8 9 10 11 12Probability 0.30 0.3 0.25 0.10 0.05Moreover, customers order 1,2,3, or 4 dozen bagels according to the following probabilitydistribution.Number of Dozen (D) 1 2 3 4Probability 0.35 0.3 0.25 0.10Bagels sell for $8.40 per dozen. They cost $5.80 per dozen to make.