1. given the new utility function: u′=ln(u)=ln(2xayb)=ln(2)+a×ln(x)+b× ln(y).what is mrsx, y of this new utility function? 2. will the mrs be still the same for each of the following transformation? explain without directly solving for mrs. a) u′=u2 b) u′=1/u2 c) u′=1987×u−507 d) u′=eu 3. explain why taking a monotonic transformation of a utility function does not change the marginal rate of substitution (mrs).

the first successful, urban blues recording, selling more than 75,000 copies, was made in year 1920.

mamie smith recorded the first commercially successful example of the urban blues,   with the recording of “crazy blues”."crazy blues" was recorded on august 10, 1920, in new york city. within a month of the release of “crazy blues” it had sold 75,000 copies.

answer; only identify and interpret trends in the marketplace;

the correct answer for apex is “ doubling a recipe and figuring out how many cups of paint to use are both examples of using math skills”.