Abudget constraint: a. shows the combinations of consumption bundles that give the consumer the same utility. b. indicates the limited amount of income available to consumers to spend on goods and services. c. shows the rate at which a consumer would be willing to trade off one good for another. d. shows the change in total utility a consumer receives from consuming one additional unit of a good or service. e. indicates the marginal rate of substitution.

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%.

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Suppose a country's productivity last year was 84. if this country's productivity growth rate of 5 percent is to be maintained, this means that this year's productivity will have to be: