Suppose that a lumberyard has a supply of 10-ft boards, which are cut into 3-ft, 4-ft, and 5-ft boards according to customer demand. The 10-ft boards can be cut into several sensible patterns. each in such a way that there the leftover material is less than 3-ft. The lumberyard just received an order for 90 3-ft boards, 60 4-ft boards. and 60 5-ft boards.

a. Determine all sensible patterns the lumberyard may use to cut the 10-ft boards.
b. The lumberyard would like to use as few 10-ft boards as possible in meeting the demand. Write out a mathematical formulation for the problem as an integer linear program ILP), and setup/solve this problem using Microsoft Excel solver. What is the optimal number of each pattern, and what is the minimum number of boards to cut?

On october 2, 2016 starbucks corporation reported, on its form 10-k, the following (in millions): total assets $14,329.5 total stockholders' equity 5,890.7 total current liabilities 4,546.9 what did starbucks report as total liabilities on october 2, 2016? select one: a. $12,516.7 million b. $6,377.3 million c. $995.0 million d. $8,438.8 million e. none of the above

Suppose that jim plans to borrow money for an education at texas a& m university. jim will need to borrow $25,000 at the end of each year for the next five years (total=$125,000). jim wishes his parents could pay for his education but they can’t. at least, he qualifies for government loans with a reduced interest rate while he is in school. he has a special arrangement with aggiebank to lend him the money at a subsidized rate of 1% over five years without having to make a payment until the end of the fifth year. however, at the end of the fifth year, jim agrees to pay off the loan by borrowing from longhorn bank. longhorn bank will lend him the money he needs at an annual interest rate of 6%. jim agrees to pay back the longhorn bank with 20 annual payments and the payments will be uniform (equal annual payments including principal and interest). (i) calculate how much money jim has to borrow at the end of 5 years to pay off the loan with aggiebank. a. $121,336 b. $127,525 c. $125,000 d. $102,020 e. none of the above

You own 2,200 shares of deltona hardware. the company has stated that it plans on issuing a dividend of $0.42 a share at the end of this year and then issuing a final liquidating dividend of $2.90 a share at the end of next year. your required rate of return on this security is 16 percent. ignoring taxes, what is the value of one share of this stock to you today?