Samantha is maximizing total utility while consuming food and clothing. Her marginal utility from food is 50, and her marginal utility from clothing is 25. If clothing is priced at $10 per unit, the price of food per unit must be:

On april 1, 2017, jiro nozomi created a new travel agency, adventure travel. the following transactions occurred during the company’s first month. april 1 nozomi invested $30,000 cash and computer equipment worth $20,000 in the company in exchange for common stock.2 the company rented furnished office space by paying $1,800 cash for the first month's (april) rent.3 the company purchased $1,000 of office supplies for cash.10 the company paid $2,400 cash for the premium on a 12-month insurance policy. coverage begins on april 11.14 the company paid $1,600 cash for two weeks' salaries earned by employees.24 the company collected $8,000 cash on commissions from airlines on tickets obtained for customers.28 the company paid $1,600 cash for two weeks' salaries earned by employees.29 the company paid $350 cash for minor repairs to the company's computer.30 the company paid $750 cash for this month's telephone bill.30 the company paid $1,500 cash in dividends. the company's chart of accounts follows: 101 cash 405 commissions earned106 accounts receivable 612 depreciation expense—computer equip.124 office supplies 622 salaries expense128 prepaid insurance 637 insurance expense167 computer equipment 640 rent expense168 accumulated depreciation—computer equip. 650 office supplies expense209 salaries payable 684 repairs expense307 common stock 688 telephone expense318 retained earnings 901 income summary319 dividends use the following information: two-thirds (or $133) of one month’s insurance coverage has expired.at the end of the month, $600 of office supplies are still available.this month’s depreciation on the computer equipment is $500.employees earned $420 of unpaid and unrecorded salaries as of month-end.the company earned $1,750 of commissions that are not yet billed at month-end. required: 1. & 2. prepare journal entries to record the transactions for april and post them to the ledger accounts in requirement 6b. the company records prepaid and unearned items in balance sheet accounts.3. using account balances from requirement 6b, prepare an unadjusted trial balance as of april 30.4. journalize and post the adjusting entries for the month and prepare the adjusted trial balance.5a. prepare the income statement for the month of april 30, 2017.5b. prepare the statement of retained earnings for the month of april 30, 2017.5c. prepare the balance sheet at april 30, 2017.6a. prepare journal entries to close the temporary accounts and then post to requirement 6b.6b. post the journal entries to the ledger.7. prepare a post-closing trial balance.

Arival company manufactures fuel tanks for cars using a different production technique. the total weekly cost (in dollars) of producing x tanks is given by c(x) = 10000 +90x - 0.04x2 find the marginal cost at a production level of 500 fuel tanks per week to approximate the cost of the 501st unit (round to the nearest 2 decimal places, if needed)

Insurance companies have internal controls in place to protect assets, monitor the accuracy of accounting records and encourage operational efficiencies and adherence to policies. these internal controls are generally of two types: administrative controls and accounting controls. administrative controls are the policies and procedures that guide the daily actions of employees. accounting controls are the policies and procedures that delineate authorizations of financial transactions that are done, safeguard assets, and provide reports on the company’s financial status in a reliable and timely manner. internal controls should include both preventative and detective controls. the purpose of preventative controls is to stop problems and errors before they occur. detective controls identify problems after they have occurred. preventative controls are usually more effective at reducing problems, but they also tend to be more expensive. internal controls must be flexible to adjust for changes in laws and regulations in addition to adding new products or modifying current ones. companies must also do regular analyses to ensure that the benefits of implementing the controls are worth their costs. when concerned about paying unwarranted insurance claims which type of control would be useful?