Victor is the manager of a local bank branch in college station where he consumes bundles of two commodities x and y. prices in college station are px=1 and py=5. he is offered a transfer to dallas where prices are px=2 and py=8; victor’s utility function is u(x, y)=xy and his income in college station is $5000. (victor’s utility maximization is always characterized by the tangency rule). will victor be able to afford what he was buying in college station if he is offered a salary in dallas that guarantees his welfare is the same with the transfer?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

In order to gauge public opinion about how to handle iran's growing nuclear program, a research group surveyed 1010 americans by telephone and asked them to rate the threat iran's nuclear program poses to the world on a scale of 1 to 10. describe the population, sample, population parameters, and sample statistics. identify the population in the given problem. choose the correct answer below.

The following information is available for juno company for the month ending june 30, 2019. * balance as per the bank statement is $ 11 comma 000. * balance as per books is $ 10 comma 400. * check #506 for $ 1 comma 200 and check #510 for $ 900 were not shown on the june 30, bank statement. * a deposit in transit of $ 3 comma 346 had not been received by the bank when the bank statement was generated. * a bank debit memo indicated an nsf check for $ 70 written by jane smith to juno company on june 13. * a bank credit memo indicated a note collected by the bank of $ 1 comma 900 and interest revenue of $ 51 on june 20. * the bank statement indicated service charges of $ 35. what is the adjusted book balance?