Organizations that advance a particular cause or belief are called a. interest groups b. political action committees c. political parties d. advocacy groups

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.]

Beck company had the following accounts and balances at the end of the year. what is net income or net loss for the year? cash $ 74 comma 000 accounts payable $12,000 common stock $21,000 dividends $12,000 operating expenses $ 13 comma 000 accounts receivable $ 49 comma 000 inventory $ 47 comma 000 longminusterm notes payable $33,000 revenues $ 91 comma 000 salaries payable $ 30 comma 000

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.