Consider the production function Q = f(L, K) = 10KL / K+L. The marginal products of labor and capital for this function are given by? MPL = 10K^2 / (K +L)^2, MPK = 10L^2 / (K +L)^2.
(a) In the short run, assume that capital is fixed at K = 4. What is the production function for the firm (quantity as a function of labor only)? What are the average and marginal products of labor? Draw APL and MPL on one graph.
(b) What is the marginal rate of technical substitution for this technology?
(c) Are the returns to scale of this production function increasing, decreasing or constant? Explain.

Paar corporation bought 100 percent of kimmel, inc., on january 1, 2012. on that date, paar’s equipment (10-year life) has a book value of $420,000 but a fair value of $520,000. kimmel has equipment (10-year life) with a book value of $272,000 but a fair value of $400,000. paar uses the equity method to record its investment in kimmel. on december 31, 2014, paar has equipment with a book value of $294,000 but a fair value of $445,200. kimmel has equipment with a book value of $190,400 but a fair value of $357,000. the consolidated balance for the equipment account as of december 31, 2014 is $574,000. what would be the impact on consolidated balance for the equipment account as of december 31, 2014 if the parent had applied the initial value method rather than the equity method? the balance in the consolidated equipment account cannot be determined for the initial value method using the information given. the consolidated equipment account would have a higher reported balance. the consolidated equipment account would have a lower reported balance. no effect: the method the parent uses is for internal reporting purposes only and has no impact on consolidated totals.

Stock market crashes happen when the value of most of the stocks in the stock market increase at the same time. question 10 options: true false

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court.the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court.because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located.because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center.because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.