Consider the following production function: q equals 8 lk plus 5 upper l squared minus (one third )upper l cubed . given the following expressions for the marginal productivity of each input: mp subscript upper l baseline equals 8 upper k plus 10 upper l minus upper l squared and mp subscript upper k baseline equals 8 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 = 30 and l = 10. (round your answer up to two decimal places and include the proper sign.)

This problem has been solved! see the answercompute and interpret altman's z-scoresfollowing is selected financial information for ebay, for its fiscal years 2005 and 2006.(in millions, except per share data) 2006 2005current assets $ 4,970.59 $ 3,183.24current liabilities 2,518.39 1,484.93total assets 13,494.01 11,788.99total liabilities 2,589.38 1,741.00shares outstanding 1,368.51 1,404.18retained earnings 4,538.35 2,819.64stock price per share 30.07 43.22sales 5,969.74 4,552.40earnings before interest and taxes 1,439.77 1,445.18compute and interpret altman z-scores for the company for both years. (do not round until your final answer; then round your answers to two decimal places.)2006 z-score = answer2005 z-score = answerwhich of the following best describes the company's likelihood to go bankrupt given the z-score in 2006 compared to 2007.the z-score in 2006 is half of the 2005 score. both z-scores are well above the score that represents a healthy company.the z-score in 2006 is double the 2005 score. the z-score has increased sharply, which suggests the company has greatly increased the risk of bankruptcy.the z-score in 2006 is half of the 2005 score. the z-score has decreased sharply, which suggests the company is in financial distress.the z-score in 2006 is double the 2005 score. the z-score has increased sharply, which suggests the company has greatly lowered the risk of bankruptcy.