Suppose there is a country in which 40% of people are below age 20, 40% are between ages 20 and 40, and 20% are between ages 40 and 60. Assume no one lives above age 60 and the fertility rate is 4. The initial population size is 100.

a. Compute the proportion of young, adult, and old after 20, 40, 60, 80, and 100 years.
b. Calculate the population growth rate over each period of 20 years.
c. Assume a country with the same population composition but with a fertility rate of 2 as a consequence of family planning policies. Do the same exercise as in (a) and (b) above. What is the effect of family planning policies after 20, 40, 60, 80, and 100 years on i) population growth and ii) the composition of the population.

Garrett is an executive vice president at samm hardware. he researches a proposal by a larger company, maximum hardware, to combine the two companies. by analyzing past performance, conducting focus groups, and interviewing maximum employees, garrett concludes that maximum has poor profit margins, sells shoddy merchandise, and treats customers poorly. what actions should garrett and samm hardware take? a. turn down the acquisition offer and prepare to resist a hostile takeover. b. attempt a friendly merger and use managerial hubris to improve results at maximum. c. welcome the acquisition and use knowledge transfer to impart sam hardware's management practices. d. do nothing; the two companies cannot combine without samm hardware's explicit consent.

When immigration adds to the size of the domestic labor pool, which of the following is likely to occur? a. wages decrease. b. productivity increases. c. consumption decreases. d. minimum wage increases.

The monthly demand equation for an electric utility company is estimated to be p equals 60 minus left parenthesis 10 superscript negative 5 baseline right parenthesis x, where p is measured in dollars and x is measured in thousands of killowatt-hours. the utility has fixed costs of $3 comma 000 comma 000 per month and variable costs of $32 per 1000 kilowatt-hours of electricity generated, so the cost function is upper c left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 32 x. (a) find the value of x and the corresponding price for 1000 kilowatt-hours that maximize the utility's profit. (b) suppose that the rising fuel costs increase the utility's variable costs from $32 to $38, so its new cost function is upper c 1 left parenthesis x right parenthesis equals 3 times 10 superscript 6 baseline plus 38 x. should the utility pass all this increase of $6 per thousand kilowatt-hours on to the consumers?