Models that pertain to the distribution of a resource within supply chains are often referred to as networks. Distribution among these networks is key to the success of a business while also keeping cost production at a minimum. Discuss at least three ways that linear optimization models can be applied to both physical as well as abstract network problems to increase efficiency in supply chain management.

Heating & cooling installs and services commercial heating and cooling systems. elklandelkland uses job costing to calculate the cost of its jobs. overhead is allocated to each job based on the number of direct labor hours spent on that job. at the beginning of the current year, elklandelkland estimated that its overhead for the coming year would be $ 61 comma 500$61,500. it also anticipated using 4 comma 1004,100 direct labor hours for the year.

Gulliver travel agencies thinks interest rates in europe are low. the firm borrows euros at 5 percent for one year. during this time period the dollar falls 11 percent against the euro. what is the effective interest rate on the loan for one year? (consider the 11 percent fall in the value of the dollar as well as the interest payment.)

At december 31, 2016, pina corporation had the following stock outstanding. 10% cumulative preferred stock, $100 par, 107,810 shares $10,781,000 common stock, $5 par, 4,026,000 shares 20,130,000 during 2017, pina did not issue any additional common stock. the following also occurred during 2017. income from continuing operations before taxes $21,950,000 discontinued operations (loss before taxes) $3,505,000 preferred dividends declared $1,078,100 common dividends declared $2,300,000 effective tax rate 35 % compute earnings per share data as it should appear in the 2017 income statement of pina corporation