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Find the optimal run size for the problem below. Please show me step by step on how to solve the equation if possible.
1. The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF supplies hot dogs to local restaurants at a steady rate of 260 per day. The cost to prepare the equipment for producing hot dogs is $66. Annual holding costs are 45 cents per hot dog. The factory operates 291 days a year.
a. Find the optimal run size. (Do not round intermediate calculations. Round your answer to the nearest whole number.)
Optimal run size ________
b. Find the number of runs per year. (Round your answer to the nearest whole number.)
Number of runs _______
c. Find the length (in days) of a run. (Round your answer to the nearest whole number.)
Run length (in days) ________
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