If the price of product x rises, then the resulting decline in the amount purchased will
a) necessarily increase the consumer's total utility from his total purchases.
b) reduce the marginal utility of the last unit consumed of this good.
c) increase the marginal utility of the last unit consumed of this good.
d) increase the total utility from purchases of this good

Kumar consulting operates several stock investment portfolios that are used by firms for investment of pension plan assets. last year, one portfolio had a realized return of 12.6 percent and a beta coefficient of 1.15. the average t-bond rate was 7 percent and the realized rate of return on the s& p 500 was 12 percent. what was the portfolio's alpha?

Which of the following statements about revision is most accurate? (a) you must compose first drafts quickly (sprint writing) and return later for editing. (b) careful writers always revise as they write. (c) revision is required for only long and complex business documents. (d) some business writers prefer to compose first drafts quickly and revise later; others prefer to revise as they go.

Find the zeros of the polynomial 5 x square + 12 x + 7 by factorization method and verify the relation between zeros and coefficient of the polynomials