On july 1, 20x2, alan enterprises merged with cherry corporation through an exchange of stock and the subsequent liquidation of cherry. alan issued 206,000 shares of its stock to effect the combination. the book values of cherry's assets and liabilities were equal to their fair values at the date of combination, and the value of the shares exchanged was equal to cherry's book value. information relating to income for the companies is as follows: 20x1 jan. 1–june 30, 20x2 july 1–dec. 31, 20x2 net income: alan enterprises $ 4,610,000 $ 2,570,000 $ 3,588,000 cherry corporation 1,320,000 802,000 — alan enterprises had 1,030,000 shares of stock outstanding prior to the combination. remember that when calculating earnings per share (eps) for the year of the combination, the shares issued in the combination were not outstanding for the entire year. required: compute the net income and earnings-per-share amounts that would be reported in alan's 20x2 comparative income statements for both 20x2 and 20x1. (round earnings per share to 2 decimal places.)

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?

Shelby company produces three products: product x, product y, and product z. data concerning the three products follow (per unit): product x product y product z selling price $ 85 $ 65 $ 75 variable expenses: direct materials 25.50 19.50 5.25 labor and overhead 25.50 29.25 47.25 total variable expenses 51.00 48.75 52.50 contribution margin $ 34.00 $ 16.25 $ 22.50 contribution margin ratio 40 % 25 % 30 % demand for the company’s products is very strong, with far more orders each month than the company can produce with the available raw materials. the same material is used in each product. the material costs $8 per pound, with a maximum of 4,400 pounds available each month. required: a. compute contribution margin per pound of materials used. (round your intermediate calculations and final answers to 2 decimal places.) contribution margin per pound product x $ product y $ product z $ b. which orders would you advise the company to accept first, those for product x, for product y, or for product z? which orders second? third? product x product y product z

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.