The production function is given as y 4(3.00N-0.0064N2),
where the marginal product of labor is given by
MPN = 4(3.00 - 0.0128N).
The equation for the labor supply curve is:
NS = 62.0 + 15(1 - f)w,
where NS is the amount of labor supplied, wis the real wage and t is the tax rate on wage income. The tax rate is t = 0.25.
Determine the labor demand function.
Using the labor demand and labor supply functions and the concept of​ labor-market equilibrium, determine the​ general-equilibrium values of the real wage ​(w​), employment ​(N​), and output ​(Y​).

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.

One of your new suppliers, kim, has been hearing rumors about your firm’s lack of capability to deliver high quality products and writes an email asking you to address the claims being made. in replying to her, you want to be sure that you are very clear and leave no room for misinterpretation. which of the following aspects of effective communication should you give the most attention? (a) making sure you understand kim’s areas of expertise. (b) supporting your reply with relevant data and facts. (c) establishing your credibility as an expert. (d) paying attention to implied communications.

You own a nonunion company with 93 nonexempt employees. all of these employ- ees pack books into boxes for shipment to customers throughout the united states. because of wide differences in performance, you have decided to try performance appraisal, something never done before. until now, you have given every worker the same size increase. now you want to measure performance and reward the best performers with bigger increases. without any further information, which of the five types of appraisal formats do you think would be most appropriate? justify your answer. do you anticipate any complaints, or other comments, from employees after you implement your new system?