(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?

(a) what was the opportunity cost of non-gm food for many buyers before 2008? (b) why did they prefer the alternative? (c) what was the opportunity cost in 2008? (d) why did it change?

At the save the fish nonprofit organization, jenna is responsible for authorizing outgoing payments, rob takes care of recording the payments in the organization's computerized accounting system, and shannon reconciles the organization's bank statements each month. this internal accounting control is best known as a(n) a. distribution process. b. segregation of duties c. specialized budget d. annotated financial process

Let's consider a hypothetical airline, mudlarks airlines. on one of its flights, precious records show that about 15% of people who had tickets for the flights did not take the flight. there are 120 seats on the plane. 1. how many tickets should mudlarks airlines sell for this flight? 2. as an added consideration, suppose that tickets on this flight cost a flat rate of $250. in addition, mudlarks airlines must give any traveler who purchased a seat for the flight, but who cannot travel due to overbooking, a $400 certificate for their trouble. does this change your answer in question one? now, suppose that mudlarks airlines forms a partnership itch another airline, puffin air. their agreement allocates 100 seats on the flight to mudlarks airlines and another 20 seats to puffin air. the 2 airlines sell tickets for the flight independently of each other. 3. assuming the same 15% no show percent for each airline, how many tickets should each sell?