5. The owner of a boat has estimated the following distribution of demand for a particular kind of boat. No. demanded 0 1 2 Probability 0.10 0.30 0.35 0.25 Each boat costs him (8 + a) (hundred) rials and he sells them for (12 + b) (hundred) rials each. Boats that are left unsold at the end of the season must be disposed off for 6 + a (hundred) rials each. How many should be stocked so as to maximize his expected profit? Note: a 8 and b = 9 3.

Managerial Economics: A Problem Solving Approach
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Author:Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
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5. The owner of a boat has estimated the following distribution of demand for a particular kind of boat.
No. demanded 0
1
Probability
0.10 0.30 0.35 0.25
Each boat costs him (8 + a) (hundred) rials and he sells them for (12 + b) (hundred) rials each. Boats
that are left unsold at the end of the season must be disposed off for 6 + a (hundred) rials each. How
many should be stocked so as to maximize his expected profit?
Note: a = 8 and b = 9
Transcribed Image Text:5. The owner of a boat has estimated the following distribution of demand for a particular kind of boat. No. demanded 0 1 Probability 0.10 0.30 0.35 0.25 Each boat costs him (8 + a) (hundred) rials and he sells them for (12 + b) (hundred) rials each. Boats that are left unsold at the end of the season must be disposed off for 6 + a (hundred) rials each. How many should be stocked so as to maximize his expected profit? Note: a = 8 and b = 9
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