Suppose that the total benefit and total cost from a continuous activity are, respectively, given by the following equations: b(q) = 100 + 36q – 4q2 and c(q) =80 + 12q. (note: mb(q) = 36 – 8q and mc(q) = ) write out the equation for the net benefits.(b) what are the net benefits when q=1 and q=5? (c) write out the equation for the marginal net benefits.

Peninsula products has just applied for a loan at your bank. when reviewing peninsula's books for the year that just ended, you notice that the firm uses the fair value option for its bonds payable. you also see that the firm recorded a $55,000 debit in its bonds payable account and a $55,000 credit in its unrealized holding gain or loss"income account. over that same period, interest rates decreased by about 0.5 percent. how should this information affect the bank's decision as to whether to grant peninsula a loan? a : the bank should strongly consider giving a loan to peninsula because the changes in firm's bonds payable and unrealized holding gain or loss"income accounts suggest that peninsula has seen an increase in its credit rating over the past year. b : the bank should put little emphasis on the changes in peninsula's bonds payable and unrealized holding gain or loss"income accounts because these changes are likely the result of the rise in interest rates. c : the bank should hesitate before giving a loan to peninsula because the changes in firm's bonds payable and unrealized holding gain or loss"income accounts suggest that peninsula has seen a decline in its credit rating over the past year. d : the bank should put little emphasis on the changes in peninsula's bonds payable and unrealized holding gain or loss"income accounts because these changes are likely unrelated to either interest rates or the firm's credit rating.

Trey morgan is an employee who is paid monthly. for the month of january of the current year, he earned a total of $4,538. the fica tax for social security is 6.2% of the first $118,500 earned each calendar year, and the fica tax rate for medicare is 1.45% of all earnings for both the employee and the employer. the amount of federal income tax withheld from his earnings was $680.70. his net pay for the month is .

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?