(This problem requires the use of calculus.) Consider a Cobb–Douglas production function with three inputs. K is capital (the number of machines), L is labor (the number of workers), and H is human capital (the number of college degrees among the workers). The production function is: Y = K^(1/3).L^(1/3).H^(1/3)(a) Derive an expression for the marginal product of labor. How does an increase in the amount of human capital affect the marginal product of labor?(b) Derive an expression for the marginal product of human capital. How does an increase in the amount of human capital affect the marginal product of human capital?(c) What is the income share paid to labor? What is the income share paid to human capital? In the national income accounts of this economy, what share of total income do you think workers would appear to receive?

Ryan terlecki organized a new internet company, capuniverse, inc. the company specializes in baseball-type caps with logos printed on them. ryan, who is never without a cap, believes that his target market is college and high school students. you have been hired to record the transactions occurring in the first two weeks of operations. issued 2,900 shares of $0.01 par value common stock to investors for cash at $29 per share. borrowed $68,000 from the bank to provide additional funding to begin operations; the note is due in two years. paid $1,000 for the current month's rent of a warehouse and another $1,000 for next month's rent. paid $1,440 for a one-year fire insurance policy on the warehouse (recorded as a prepaid expense). purchased furniture and fixtures for the warehouse for $16,000, paying $3,200 cash and the rest on account. the amount is due within 30 days. purchased for $2,800 cash the university of pennsylvania, notre dame, the university of texas at austin, and michigan state university baseball caps as inventory to sell online. placed advertisements on google for a total of $340 cash. sold caps totaling $1,900, half of which was charged on account. the cost of the caps sold was $1,100. (hint: make two entries.) made full payment for the furniture and fixtures purchased on account in (e). received $280 from a customer on account.

Exercise 7-7 martinez company reports the following financial information before adjustments. dr. cr. accounts receivable $168,900 allowance for doubtful accounts $3,200 sales revenue (all on credit) 849,300 sales returns and allowances 50,440 prepare the journal entry to record bad debt expense assuming martinez company estimates bad debts at (a) 4% of accounts receivable and (b) 4% of accounts receivable but allowance for doubtful accounts had a $1,550 debit balance. (if no entry is required, select "no entry" for the account titles and enter 0 for the amounts. credit account titles are automatically indented when the amount is entered. do not indent manually.)

In a transportation minimization problem, the negative improvement index associated with a cell indicates that reallocating units to that cell would lower costs.truefalse