Please answer the following question please provide deait answer and formulas, thanks you

You are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day$$s paper for $$0\mathrm{.}50$a copy. You sell a copy of the San Pedro Times for $$2\mathrm{.}50.$Daily demand is distributed normally with mean $=300$and standard deviation $=50.$At the end of each morning, any leftover copies are worthless and they go to a recycle bin. According to the above information, answer the following six questions.

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Question $1$

Determine the underage cost. Keep two decimals.

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Question $2$

Determine the critical ratio. Keep two decimals.

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Question $3$

Determine the optimal order quantity. Round your answer to the nearest integer.

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Question $4$

Everything else being equal, which of the following will lead to increased optimal order quantity?

Increase the cost of the paper from $$0\mathrm{.}50$to $$0\mathrm{.}60.$

Reduce the selling price from $$2\mathrm{.}50$to $$2\mathrm{.}20.$

C$.$Increase the standard deviation of demand from $50$to $60.$

D$.$Reduce the mean of the demand from $300$to $250.$

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Question $5$

Suppose you want to find the order quantity that ensures a $95\%$in$-$stock probability, determine the order quantity. Round your answer to the nearest integer.

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Question $6$

Please us the L$($Z $)$Table

Given order quantity Q$=350,$calculate the expected profit. Round your final answer to the nearest integer. DO NOT round intermediate results.