As with other products, Fisher-Price faces the decision of how many Weather Teddy units to order for the coming holiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or 28,000 units. The wide range of order quantities suggested indicates considerable disagreement concerning the market potential. The product management team asks you for an analysis of the stock-out probabilities for various order quantities, an estimate of the profit potential, and to help make an order quantity recommendation. Fisher-Price expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains after the holiday season, Fisher-Price will sell all surplus inventory for $5 per unit. After reviewing the sales history of similar products, Fisher-Price’s senior sales forecaster predicted an expected demand of 20,000 units with a .95 probability that demand would be between 10,000 units and 30,000 units. Compute the probability of a stock-out for the order quantities suggested by members of the management team. Compute the projected profit for the order quantities suggested by the management team under three scenarios: worst case in which sales = 10,000 units, most likely case in which sales = 20,000 units, and best case in which sales = 30,000 units.

Practical Management Science
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Author:WINSTON, Wayne L.
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Chapter2: Introduction To Spreadsheet Modeling
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As with other products, Fisher-Price faces the decision of how many Weather Teddy units to order for the coming
holiday season. Members of the management team suggested order quantities of 15,000, 18,000, 24,000, or
28,000 units. The wide range of order quantities suggested indicates considerable disagreement concerning the
market potential. The product management team asks you for an analysis of the stock-out probabilities for
various order quantities, an estimate of the profit potential, and to help make an order quantity recommendation.
Fisher-Price expects to sell Weather Teddy for $24 based on a cost of $16 per unit. If inventory remains after
the holiday season, Fisher-Price will sell all surplus inventory for $5 per unit. After reviewing the sales history
of similar products, Fisher-Price’s senior sales forecaster predicted an expected demand of 20,000 units with a
.95 probability that demand would be between 10,000 units and 30,000 units.

Compute the probability of a stock-out for the order quantities suggested by members of the management
team.
Compute the projected profit for the order quantities suggested by the management team under three
scenarios: worst case in which sales = 10,000 units, most likely case in which sales = 20,000 units, and best
case in which sales = 30,000 units.

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