A grocery store orders frozen pies in batches from a bakery and sells them in the grocery store. Storing one frozen pie for a year costs $0.95. When the grocery store reorders pies, there is a fixed cost of $1.95 per order as well as $0.65 per pie. Each year, they sell 3250 frozen pies. What is the optimal number of pies to order in each order to minimize their total inventory costs.

Rate of return douglas keel, a financial analyst for orange industries, wishes to estimate the rate of return for two similar-risk investments, x and y. douglas's research indicates that the immediate past returns will serve as reasonable estimates of future returns. a year earlier, investment x had a market value of $27 comma 000; and investment y had a market value of $46 comma 000. during the year, investment x generated cash flow of $2 comma 025 and investment y generated cash flow of $ 6 comma 770. the current market values of investments x and y are $28 comma 582 and $46 comma 000, respectively. a. calculate the expected rate of return on investments x and y using the most recent year's data. b. assuming that the two investments are equally risky, which one should douglas recommend? why?