Bob lives in San Diego and loves to eat desserts. He spends his entire weekly allowance on yogurt and pie. A bowl of yogurt is priced at $1.25, and a piece of pecan pie is priced at $3.75. At his current consumption point, Bob's marginal rate of substitution (MRS) of yogurt for pie is 2. This means that Bob is willing to trade two bowls of yogurt per week for one piece of pie per week.

Does Bob's current bundle maximize his utility—in other words, make him as well off as possible? If not, how should he change it to maximize his utility?

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?

Kubin company’s relevant range of production is 24,000 to 31,000 units. when it produces and sells 27,500 units, its average costs per unit are as follows:

How do you know if two line segments are perpendicular?