A company manufactures mountain bikes. The research department produced the marginal cost function C′​(x)=500− x 3​, 0≤x≤900​, where C′​(x) is in dollars and x is the number of bikes produced per month. Compute the increase in cost going from a production level of 600 bikes per month to 720 bikes per month. Set up a definite integral and evaluate it.

You have $22,000 to invest in a stock portfolio. your choices are stock x with an expected return of 11 percent and stock y with an expected return of 13 percent. if your goal is to create a portfolio with an expected return of 11.74 percent, how much money will you invest in stock x? in stock y?

For each separate case below, follow the 3-step process for adjusting the prepaid asset account at december 31. step 1: determine what the current account balance equals. step 2: determine what the current account balance should equal. step 3: record the december 31 adjusting entry to get from step 1 to step 2. assume no other adjusting entries are made during the year. a. prepaid insurance. the prepaid insurance account has a $4,700 debit balance to start the year. a re- view of insurance policies and payments shows that $900 of unexpired insurance remains at year-end. b. prepaid insurance. the prepaid insurance account has a $5,890 debit balance at the start of the year. a review of insurance policies and payments shows $1,040 of insurance has expired by year-end. c. prepaidrent. onseptember1ofthecurrentyear, thecompanyprepaid$24,000 for 2 years of rentfor facilities being occupied that day. the company debited prepaid rent and credited cash for $24,000.

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate. a. after a long search, jon finds a job. b. tyrion, a full-time college student, graduates and is immediately employed. c. after an unsuccessful job search, arya gives up looking and retires. d. daenerys quits her job to become a stay-at-home mom. e. sansa has a birthday, becomes an adult, but has no interest in working. f. jaime has a birthday, becomes an adult, and starts looking for a job. g. cersei dies while enjoying retirement. h. jorah dies working long hours at the office.