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One month prior to flu season, GammaFlu must decide how many doses of this year's flu vaccine to order from its contract manufacturer. GammaFlu sells

One month prior to flu season, GammaFlu must decide how many doses of this year's flu vaccine to
order from its contract manufacturer. GammaFlu sells the vaccines for $22 per unit. Any unsold
vaccines at the end of flu season can be sold in a secondary market for $13. It costs $1 to hold a unit
in inventory through the selling season. Demand is estimated to be normally distributed with a mean
of 50,000 units and a standard deviation of 7,000 units. GammaFlu's contract manufacturer charges
$15 per unit ordered.
Calculate the optimal expected profit associated with the optimal order quantity.
Rounding instructions
Carry all calculations to at least 3 decimal places.
Enter your final answer rounded to one decimal place (nearest tenth).
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