Suppose that you currently have $250,000 invested in a portfolio with an expected return of 12% and a volatility of 9%. The efficient (tangent) portfolio has an expected return of 12% and a volatility of 12%. The risk-free rate of interest is 3%. You want to maximize your expected return without increasing your risk. Without increasing your volatility beyond its current 9%, the maximum expected return you could earn is closest to:

What is an example of a good stock to buy during economic expansion? a) cyclical stock b) defensive stock c) income stock d) bond

Define the marginal rate of substitution between two goods (x and y). if a consumer’s preferences are given by u(x,y) = x3/4y1/4, compute the consumer’s marginal rate of substitution as a function of x and y. calculate the mrs if the consumer has chosen to consumer 48 units of x and 16 units of y. show your work. (use the back of the page if necessary.

Amonopolist’s inverse demand function is p = 150 – 3q. the company produces output at two facilities; the marginal cost of producing at facility 1 is mc1(q1) = 6q1, and the marginal cost of producing at facility 2 is mc2(q2) = 2q2.a. provide the equation for the monopolist’s marginal revenue function. (hint: recall that q1 + q2 = q.)mr(q) = 150 - 6 q1 - 3 q2b. determine the profit-maximizing level of output for each facility.output for facility 1: output for facility 2: c. determine the profit-maximizing price.$