A store wants to include cash prizes in bags of potato chips sold at the oldest branch of a popular supermarket. Any bag that is sold, regardless of whether or not it contains a prize, is immediately exchanged for another on the shelf so that the number of bags of chips offered is always the same. The foil pass is maintained with 5 pouches inside at any given time. Each of these bags will have a check with a € 3,000 prize money inside. How many bags should the company make available for sale at one time to make sure that 40% of the time, the first bag of the prize is at least the 5000 that has been sold?

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
Chapter3: Solving Equation And Problems
Section3.7: Costs, Income, And Value Problems
Problem 18P
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A store wants to include cash prizes in bags of potato chips sold at the oldest branch of a popular supermarket. Any bag that is sold, regardless of whether or not it contains a prize, is immediately exchanged for another on the shelf so that the number of bags of chips offered is always the same.
The foil pass is maintained with 5 pouches inside at any given time.
Each of these bags will have a check with a € 3,000 prize money inside.
How many bags should the company make available for sale at one time to make sure that 40% of the time, the first bag of the prize is at least the 5000 that has been sold?

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