Consider the following production function: q equals 9 LK plus 4 Upper L squared minus (one third )Upper L cubed . Given the fo
llowing expressions for the marginal productivity of each input: MP Subscript Upper L Baseline equals 9 Upper K plus 8 Upper L minus Upper L squared and MP Subscript Upper K Baseline equals 9 Upper L Assuming capital is plotted on the vertical axis and labor is plotted on the horizointal axis, determine the value of the marginal rate of technical substitution when K = 25 and L = 10. (Round your answer up to two decimal places and include the proper sign.) MRTS = nothing.
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Answer:
(a) Current ratio = 2.746
(b) Acid-test ratio = 1.423
(c) Debt to assets ratio = 47.48%
(d) Return on assets = 6.15%
Explanation:
For Balance Sheet, pleased see attached file.
Current Ratio = Current Asset / Current Liabilities
Current Ratio = 212,800 / 77,500
Current Ratio = 2.746
Acid-Test Ratio = (Current Assets – Inventories) / Current Liabilities
Acid-Test Ratio = (212,800 – 102,500) / 77,500
Acid-Test Ratio = 1.423
Debt to Asset ratio = (Total Liabilities / Total Assets)*100
Debt to Asset ratio = (205,500 / 432,800)*100
Debt to Asset ratio = 47.48%
ROA = (Net Income / Total Assets)*100
ROA = (26,600 / 432,800)*100
ROA = 6.15%
The Current Ratio is a liquidity measure that shows the ratio between current asset and current liabilities. It tells how many dollars of the current asset are per dollar of current debts, that gives an idea of the company`s ability to perform its debts.
The Quick Ratio is also a liquidity indicator, but using its most liquid assets, to pay its current liabilities at maturity. The inventory, although it is a current asset, is not considered, since it cannot be converted into cash in a very short term.
The difference between the Quick Ratio and the Current Ratio, implies that while both are measures of the company's ability to pay its debts, the quick ratio also tells how much the company depends on its inventory to get that objective.
The Debt to Assets ratio is a financial ratio that shows how much of a company assets is owed to its creditors.
ROA is a financial indicator that gives an idea as to how efficient a company's management is at using its assets to generate earnings, by determining how profitable a company is relative to its total assets.
