In a school machine shop, 75% of all machine breakdowns occur on lathes and 15% occur on drill presses. let e denote the event that the next machine breakdown is on a lathe, and let f denote the event that a drill press is the next machine to break down. with p(e) = 0.75 and p(f) = 0.15, calculate the following. (enter your answers to two decimal places.) (a) p(e c)

Franklin painting company is considering whether to purchase a new spray paint machine that costs $4,800. the machine is expected to save labor, increasing net income by $720 per year. the effective life of the machine is 15 years according to the manufacturer’s estimate. required determine the unadjusted rate of return based on the average cost of the investment.

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above

What is the difference between total utility and marginal utility? a. marginal utility is subject to the law of diminishing marginal utility while total utility is not. b. total utility represents the consumer optimum while marginal utility gives the total utility per dollar spent on the last unit. c. total utility is the total amount of satisfaction derived from consuming a certain amount of a good while marginal utility is the additional satisfaction gained from consuming an additional unit of the good. d. marginal utility represents the consumer optimum while total utility gives the total utility per dollar spent on the last unit.