Which of these assumptions is often realistic for a firm in the short run? a. the firm can vary both the size of its factory and the number of workers it employs. b. the firm can vary the size of its factory but not the number of workers it employs. c. the firm can vary the number of workers it employs but not the size of its factory. d. the firm can vary neither the size of its factory nor the number of workers it employs.

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

Your parents have accumulated a $170,000 nest egg. they have been planning to use this money to pay college costs to be incurred by you and your sister, courtney. however, courtney has decided to forgo college and start a nail salon. your parents are giving courtney $20,000 to her get started, and they have decided to take year-end vacations costing $8,000 per year for the next four years. use 8 percent as the appropriate interest rate throughout this problem. use appendix a and appendix d for an approximate answer, but calculate your final answer using the formula and financial calculator methods. a. how much money will your parents have at the end of four years to you with graduate school, which you will start then?

Suppose that in an economy the structural unemployment rate is 2.2 percent, the natural unemployment rate is 5.3 percent, and the cyclical unemployment rate is 2 percent. the frictional unemployment rate is percent and the actual unemployment rate (in this economy) is percent.