Suppose that Ms. Thomson is currently exhausting her money income by purchasing 10 units of A and 8 units of B at prices of $2 and $4, respectively. The marginal utility of the last units of A and B are 16 and 24, respectively. These data suggest that Ms. Thomsona. has preferences that are at odds with the principle of diminishing marginal utility.
b. considers a and b to be complementary goods.
c. should buy less a and more b.
d. should buy less b and more a.

Acompany recorded a check in its accounting records as $87. however, the check was actually written for $78 and it cleared the bank as $78. what adjustment is needed to the personal statement? a. decrease by $9 b. increase by $9 c. decrease by $18 d. increase by $9

Stocks a, b, and c are similar in some respects: each has an expected return of 10% and a standard deviation of 25%. stocks a and b have returns that are independent of one another; i.e., their correlation coefficient, r, equals zero. stocks a and c have returns that are negatively correlated with one another; i.e., r is less than 0. portfolio ab is a portfolio with half of its money invested in stock a and half in stock b. portfolio ac is a portfolio with half of its money invested in stock a and half invested in stock c. which of the following statements is correct? a. portfolio ab has a standard deviation that is greater than 25%.b. portfolio ac has an expected return that is less than 10%.c. portfolio ac has a standard deviation that is less than 25%.d. portfolio ab has a standard deviation that is equal to 25%.e. portfolio ac has an expected return that is greater than 25%.

Afirm wants to hire a project manager (pm) at a salary of $100,000. 30% of pms have high ability, and 70% of pms have low ability. high ability pms generate $120,000 in revenue and low ability pms generate $80,000 in revenue. in addition to differences in productivity, high and low ability pms have different outside offers. if a high ability pm is not hired by the firm, she can work for another company at a salary of $80,000. if the low ability pm is not hired by the firm, she can work for another company for $70,000. high ability pms are also able to get a project management professional (pmp) certification at a cost of $1,000. low ability pms are unable to get a pmp certification (they would fail the test). the firm is not able to observe a pm’s ability, but is able to observe and verify whether or not the pm has a pmp certificate.(a) draw the extensive form of the game.expert answer