Suppose a recent government report indicates that 12% of the labor force is African American. Of the individuals in the labor force who are African American, 11% are unemployed. Among the individuals in the labor force who are not African American, 5% are unemployed. Let A be the event that a randomly selected member of the labor force is African American and let B be the event that a randomly selected member of the labor force is unemployed. Determine P ( A ∣ B ) , the probability that a randomly selected member of the labor force is African American given that he or she is unemployed. Express your answer as a percentage with no decimal places.

Acompany's income statement showed the following: net income, $145,000 and depreciation expense, $36,300. an examination of the company's current assets and current liabilities showed the following changes as a result of operating activities: accounts receivable decreased $11,500; merchandise inventory increased $22,200; and accounts payable increased $5,500. calculate the net cash provided or used by operating activities. $209,500 $139,000 $176,100 $186,500 $142,100

Match each of the terms below with an example that fits the term. a. fungibility the production of gasoline b. inelasticity the switch from coffee to tea c. non-excludability the provision of national defense d. substitution the demand for cigarettes

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]