What is the expected sales if the company makes 1100 pairs of Nirvana shoes for the season?

What is the expected leftover inventory if the company makes 1000 pairs of Nirvana shoes for the season?

What is the fill rate when the company makes 1000 pairs of Nirvana?

(Note: The expected fill rate can be expressed as a fraction or a percentage. For example, if your answer is 0.70 (= 70 %), you may enter the answer as either 0.70 or 70.)

What is the optimal (profit-maximizing) production quantity of Nirvana for the season? Choose the closest answer.

What is the expected profit for Runners World if the company makes 850 pairs of Nirvana? (Enter only a number, which should be the profit in dollars. E.g. if your answer is $80.25, enter 80.25.)

How many pairs of Nirvana should Runners World make to achieve a 1% stockout probability? Choose the closest answer.

How many pairs of Nirvana should Runners World make to achieve 99% fill rate? Choose the closest answer.

Thank you!

Runner's World launched a new model of running shoes called "Nirvana". A pair of "Nirvana" is sold for $68 and costs $30 to make. If "Nirvana" does not get sold by the end of the season, it is sold to an outlet store for the discounted price of $25 per pair. Additionally, the shipping cost to the outlet store for unsold shoes is $5 per pair. The demand for "Nirvana" for the season is forecast to be normally distributed with a mean of 920 and a standard deviation of 160