For each of the following utility functions, calculate (or figure out) the mrs and sketch outan indifference curve for u=4, plotting at least 2 points on each curve, and explain whether thepreferences violate the diminishing mrs or convexity of indifference curves. also make clear if theindifference curve hits the x and/or y axis. a)u(x, y) = ln x + 3ln yb) u (x ,y) =1/2 x+1/3y c) u(x, y) = min(2x, y)d) u(x, y) =sqrt( y) + x

Mark knopf is an auditor who has been asked to provide an audit and financial statement certification for a company that is going public on the new york stock exchange. knopf wants to know his personal liability if the company provides him with inaccurate or false information. which of the following sources of law will him answer that question? a. the city ordinances where the company headquarters is located. b. the state constitution of the state where the company is incorporated. c. code of federal regulations. d. all of the above

In microeconomics, the point at which supply and demand meet is called the blank price

Your family business uses a secret recipe to produce salsa and distributes it through both smaller specialty stores and chain supermarkets. the chain supermarkets have been demanding sizable discounts, but you do not want to drop your prices to the specialty stores. true or false: the robinson-patman act limits your ability to offer discounts to the chain supermarkets while leaving the price high for the smaller stores. true false