How many cakes should the bakes make

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Question: Every morning a baker must decide how many cakes to bake. Cakes have a shelf life of only one day and unsold cakes have no salvage value. Cakes costs $11 to make and sell at retail for $28. The baker knows that demand for cakes follows this distributions:

x prob(x)
13 0.03
14 0.06
15 0.19
16 0.32
17 0.19
18 0.12
19 0.04
20 0.03

How many cakes should the bakes make if he wants to maximize his expected profit.

Reference no: EM131871016

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