Question: Use this data to answer the next 5 questions (Questions 36-40). The Philly Bike Shop is planning to introduce the successor to its current set

Use this data to answer the next 5 questions (Questions 36-40).

The Philly Bike Shop is planning to introduce the successor to its current set of bikes. The new bike, named Bannongale Extreme, has a varying demand forecast. The Philly Bike Shop has determined that demand will be normally distributed, with a mean of 250, and standard deviation of 50.

The Philly Bike Shop will sell this bike in one season only. It will order all bikes ahead of the selling season, and will have to salvage any unsold bike at the end of the selling season at deep discount.

36. Suppose Philly Bike Shop decided to order 300 bikes, which it will hold in inventory starting at the beginning of the selling season.

What is the service level that Philly Bike Shop can expect as a result of this decision? Write your answer as a decimal value, two decimal places (e.g., 0.92), not as a percentage.

37. Suppose Philly Bike Shop decided to order 300 bikes, which it will hold in inventory starting at the beginning of the selling season.

What is the fill rate that Philly Bike Shop can expect as a result of this decision? Write your answer as a decimal value, two decimal places (e.g., 0.92), not as a percentage.

38. If the Philly Bike Shop decides to keep an on-hand inventory of 300 units of Bannongale Extreme, what will be the Expected, or Mean Monthly Sales volume?

Write it as a number, with 2 decimal places. Do not round to integer value.

39. If the Philly Bike Shop requires to maintain a service level of 97.7%, or 0.977, how much starting inventory should they hold at the minimum?

40. If the Philly Bike Shop requires to maintain a fill rate of 99%, or 0.99, how much starting inventory should they hold at the minimum?

Answer as an integer.

Note: It must be 0.99 or more. So 0.989 is not enough.

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