For each of the following scenario involving the U. S. government, determine the primary function of government that is being served. An inventor secures a government patent on his newest project so that others can't profit from his idea.

a. Productive function whereby the government redistributes income from rich to poor.
b. Productive function whereby the government produces goods that are difficult for private markets to supply.
c. Productive function whereby the government maintains market competition.
d. Protective function whereby the government enforces property rights

An annuity that goes on indefinitely is called a perpetuity. the payments of a perpetuity constitute a/an series. the equation is: a stock with no maturity is an example of a perpetuity. quantitative problem: you own a security that provides an annual dividend of $170 forever. the security’s annual return is 9%. what is the present value of this security? round your answer to the nearest cent. $

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

One pound of material is required for each finished unit. the inventory of materials at the end of each month should equal 20% of the following month's production needs. purchases of raw materials for february would be budgeted to be: