(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?

Which of the following statements regarding the learning curve and economies of scale is accurate? answers: just as diseconomies of scale are presumed to exist if a firm gets too large, there is a corresponding increase in costs in the learning-curve model as the cumulative volume of production grows. where diseconomies of scale are presumed to exist if a firm gets too large, there is no corresponding increase in costs in the learning-curve model as the cumulative volume of production grows. where diseconomies of scale are presumed to exist if a firm gets too small, there is no corresponding increase in costs in the learning-curve model as the cumulative volume of production grows. just as diseconomies of scale are presumed to exist if a firm gets too small, there is a corresponding increase in costs in the learning-curve model as the cumulative volume of production grows.

Identify the three components of a family's culture and provide one example from your own experience

Aresearcher developing scanners to search for hidden weapons at airports has concluded that a new scanner isis significantly better than the current scanner. he made his decision based on a test using alpha equals 0.025 .α=0.025. would he have made the same decision at alpha equals 0.10 question mark α=0.10? how about alpha equals 0.01 question mark α=0.01? explain