An advertising firm has D dollars to spend on reachingcustomers in T separate markets. Market t consists of ktpeople. If x dollars are spent on advertising in market t, theprobability that a given person in market t will be reachedis pt(x). Each person in market t who is reached will buy ctunits of the product. A person who is not reached will notbuy any of the product. Formulate a dynamic programmingrecursion that could be used to maximize the expectednumber of units sold in T markets.
An advertising firm has D dollars to spend on reachingcustomers in T separate markets. Market t consists of ktpeople. If x dollars are spent on advertising in market t, theprobability that a given person in market t will be reachedis pt(x). Each person in market t who is reached will buy ctunits of the product. A person who is not reached will notbuy any of the product. Formulate a dynamic programmingrecursion that could be used to maximize the expectednumber of units sold in T markets.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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An advertising firm has D dollars to spend on reaching
customers in T separate markets. Market t consists of kt
people. If x dollars are spent on advertising in market t, the
probability that a given person in market t will be reached
is pt(x). Each person in market t who is reached will buy ct
units of the product. A person who is not reached will not
buy any of the product. Formulate a dynamic programming
recursion that could be used to maximize the expected
number of units sold in T markets.
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