Rita promises to give her 12–year–old daughter $12,000 when she turns 18. how much does she need to put in the bank now if the interest rate is 12 percent per year?

Peppy roaney believes that pizza is a much more versatile dish than most people realize. as the national marketing manager for pizza guys, he observed how consumers were delighted with barbecue pizza, hawaiian pizza, mexican pizza and other unique combinations. his suggestions for other unusual pizzas, however, were met with a negative response by his superiors. even some of his colleagues laughed at his ideas. peppy's confidence in his ability to understand the market has led him to focus on planning a business of his own. peppy realizes that he will take a risk when he leaves his job with pizza guys and embarks upon a new venture: peppy's pizzazzeria. peppy is excited about the potential of profitably catering to the unmet desires of pizza consumers. peppy is confident that peppy's pizzazzeria will be a success, but only if he has enough money to do things right. since peppy has very little personal wealth, he knows he must obtain financial assistance. in order to prepare for meetings with bankers and p

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.1 20.03farm.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.

What is the relationship between marginal external cost, marginal social cost, and marginal private cost? a. marginal social cost equals marginal private cost plus marginal external cost. b. marginal private cost plus marginal social cost equals marginal external cost. c. marginal social cost plus marginal external cost equals marginal private cost. d. marginal external cost equals marginal private cost minus marginal social cost. marginal external cost a. is expressed in dollars, so it is not an opportunity cost b. is an opportunity cost borne by someone other than the producer c. is equal to two times the marginal private cost d. is a convenient economics concept that is not real