Haggis Supermarkets (HS) have purchased 6 liters of irn bru from a local producer. Each liter of irn bru is sold in the chain's three stores for £2 per liter. The producer must buy back for £0.50 per liter any product that is not sold by the end of the week. Demand for each of the three stores is uncertain, but HS have historical data with the weekly demands at each store which constitute an accurate description of the uncertainty. See the following table: Store Weekly demand (liters) Probability 1 1 0.6 2 3 1 2 3 1 2 3 2 3 0 0.4 0.5 0.1 0.4 0.4 0.3 0.3 Just by looking at this information, HS know that it does not make sense to allocate more than 3 liters to any sotre. But, how should they distribute the 6 liters to maximized their expected weekly revenue? Note that only integer amounts of irn bru can be allocated due to the logistics chain at HS. Use dynamic programming to solve this problem by answering the following questions:

Haggis Supermarkets (HS) have purchased 6 liters of irn bru from a local producer. Each liter of irn bru is sold in the chain's three stores for £2 per liter. The producer must buy back for £0.50 per liter any product that is not sold by the end of the week. Demand for each of the three stores is uncertain, but HS have historical data with the weekly demands at each store which constitute an accurate description of the uncertainty. See the following table: Store Weekly demand (liters) Probability 1 1 0.6 2 3 1 2 3 1 2 3 2 3 0 0.4 0.5 0.1 0.4 0.4 0.3 0.3 Just by looking at this information, HS know that it does not make sense to allocate more than 3 liters to any sotre. But, how should they distribute the 6 liters to maximized their expected weekly revenue? Note that only integer amounts of irn bru can be allocated due to the logistics chain at HS. Use dynamic programming to solve this problem by answering the following questions:

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter9: Systems Of Linear Equations

Section9.6: Wind And Water Current Problems

Problem 8P

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