Unlimited units of following items are available. Item Weight per unit (lbs) Price per unit ($) 1 4 11 2 3 7 3 5 12 We wish to fill a 10 pound bag with items of maximum total price. Any number of units of an item can be used. In particular, we can select multiple units of the same item if we want. Formulate the integer program and find out the maximum total price of all items in the bag. Note that this problem can also be solved using dynamic programming by slightly modifying the algorithm discussed in the lecture.

The treasurer for pittsburgh iron works wishes to use financial futures to hedge her interest rate exposure. she will sell five treasury futures contracts at $139,000 per contract. it is july and the contracts must be closed out in december of this year. long-term interest rates are currently 7.30 percent. if they increase to 9.50 percent, assume the value of the contracts will go down by 20 percent. also if interest rates do increase by 2.2 percent, assume the firm will have additional interest expense on its business loans and other commitments of $149,000. this expense, of course, will be separate from the futures contracts. a. what will be the profit or loss on the futures contract if interest rates increase to 9.50 percent by december when the contract is closed out

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?

University car wash built a deluxe car wash across the street from campus. the new machines cost $219,000 including installation. the company estimates that the equipment will have a residual value of $19,500. university car wash also estimates it will use the machine for six years or about 12,500 total hours. actual use per year was as follows: year hours used 1 3,100 2 1,100 3 1,200 4 2,800 5 2,600 6 1,200 prepare a depreciation schedule for six years using the following methods: 1. straight-line. 2. double-declining-balance. 3. activity-based.