Formulate a system of equations for the situation below and solve. mr. and mrs. garcia have a total of $100,000 to be invested in stocks, bonds, and a money market account. the stocks have a rate of return of 15%/year, while the bonds and the money market account pay 10%/year and 5%/year, respectively. the garcias have stipulated that the amount invested in the money market account should be equal to the sum of 20% of the amount invested in stocks and 10% of the amount invested in bonds. how should the garcias allocate their resources if they require an annual income of $12,500 from their investments?

You are chairman of the board of a successful technology firm. there is a nominal federal corporate tax rate of 35 percent, yet the effective tax rate of the typical corporation is about 12.6%. your firm has been clever with use of transfer pricing and keeping money abroad and has barely paid any taxes over the last 5 years; during this same time period, profits were $28 billion. one member of the board feels that it is un-american to use various accounting strategies in order to avoid paying taxes. others feel that these are legal loopholes and corporations have a fiduciary responsibility to minimize taxes. one board member quoted what the ceo of exxon once said: “i’m not a u. s. company and i don’t make decisions based on what’s good for the u. s.” what are the alternatives? what are your recommendations? why do you recommend this course of action?

Onsider the following subscription behavior information from genie, a web site that provides tools for constructing a family tree (ancestor search). subscriptions cost $9.99 per month, but you are charged for the entire year at the time of purchase. there is a one-year minimum term when you sign up for the service. once purchased, subscriptions are set to renew automatically unless the subscriber cancels them. when a membership renews, it renews for a one-year term and again you are charged for the entire year. there are no variable costs associated with providing this service to an individual customer, but genie does engage in customer relationship activities that they believe will increase customer retention. these customer relationship activities cost genie about $10 per year per customer. based on a sample of 1000 customers that joined genie five years ago, near the time when the company was founded, they were able to determine how many of those customers remained subscribers in the second year, third year etc. based on this information, genie calculated the average annual retention rate to be 20%. genie uses an annual discount rate of 8%. a. last year, genie spent $10,000 placing advertisements on google. genie management believes that these advertisements were responsible for about 300 new subscribers. would you recommend to genie management that they purchase more google ads? b. suppose a newly-introduced loyalty program increases the number of customers that remained to 30%. does this new data change your answer to 9.a? c. do you have any hesitations or concerns about making recommendations to management based on your above estimate of customer lifetime value?

Jaynet spends $50,000 per year on painting supplies and storage space. she recently received two job offers from a famous marketing firm – one offer was for $95,000 per year, and the other was for $120,000. however, she turned both jobs down to continue a painting career. if jaynet sells 35 paintings per year at a price of $6,000 each: a. what are her accounting profits? b. what are her economic profits?