The cob Douglas production function is given by Q(K, L)=AK^1.4*L^1.6

Show that is production function is homogeneous of degree 3(i. e exhibits increasing returns to scale) and verify the
Euler's theorem

Belstone, inc. is a merchandiser of stone ornaments. it sold 15,000 units during the year. the company has provided the following information: sales revenue $ 520,000 purchases (excluding freight in) 338,500 selling and administrative expenses 32,000 freight in 15,000 beginning merchandise inventory 43,000 ending merchandise inventory 58,500 how much is the gross profit for the year?

Pettijohn inc. the balance sheet and income statement shown below are for pettijohn inc. note that the firm has no amortization charges, it does not lease any assets, none of its debt must be retired during the next 5 years, and the notes payable will be rolled over. balance sheet (millions of $) assets 2016 cash and securities $ 1,554.0 accounts receivable 9,660.0 inventories 13,440.0 total current assets $24,654.0 net plant and equipment 17,346.0 total assets $42,000.0 liabilities and equity accounts payable $ 7,980.0 notes payable 5,880.0 accruals 4,620.0 total current liabilities $18,480.0 long-term bonds 10,920.0 total debt $29,400.0 common stock 3,360.0 retained earnings 9,240.0 total common equity $12,600.0 total liabilities and equity $42,000.0 income statement (millions of $) 2016 net sales $58,800.0 operating costs except depr'n $54,978.0 depreciation $ 1,029.0 earnings bef int and taxes (ebit) $ 2,793.0 less interest 1,050.0 earnings before taxes (ebt) $ 1,743.0 taxes $ 610.1 net income $ 1,133.0 other data: shares outstanding (millions) 175.00 common dividends $ 509.83 int rate on notes payable 1. what is the firm's current ratio? (points : 6) 0.97 1.08 1.20 1.33 2. what is the firm's quick ratio? (points : 6) 0.49 0.61 0.73 0.87 3. what is the firm's total assets turnover? (points : 6) 0.90 1.12 1.40 1.68 4. what is the firm's inventory turnover ratio? (points : 6) 4.38 4.59 4.82 5.06 5. what is the firm's debt ratio? (points : 6) 45.93% 51.03% 56.70% 70.00% 6. what is the firm's roa? (points : 6) 2.70% 2.97% 3.26% 3.59% 7. what is the firm's roe? (points : 6) 8.54% 8.99% 9.44% 9.91%

1. the political environment in india has proven to be critical to company performance for both pepsico and coca-cola india. what specific aspects of the political environment have played key roles? could these effects have been anticipated prior to market entry? if not, could developments in the political arena have been handled better by each company? 2. timing of entry into the indian market brought different results for pepsico and coca-cola india. what benefits or disadvantages accrued as a result of earlier or later market entry? 3. the indian market is enormous in terms of population and geography. how have the two companies responded to the sheer scale of operations in india in terms of product policies, promotional activities, pricing policies, and distribution arrangements? 4. “global localization” (glocalization) is a policy that both companies have implemented successfully. give examples for each company from the case.