Suppose a firm can use either Capital(K) or Labor(L) in a production process. Then firms production function is given by Q=5L+15K. The price of capital is $20 per unit and the price of labor is $8 per unit. a) What is the firm's Total Cost function? b)Suppose the firm is producing 30 units of output (Q = 30). Using a graph, draw the firm's isoquant for Q = 30. Also, on the same graph, draw the isocost line associated with the total cost of producing Q = 30. Your graph should be accurate and carefully labeled. Please put the units of Capital (K) on the vertical axis, and the units of Labor (L) on the horizontal axis. Make sure to clearly indicate the cost-minimizing combination of Labor and Capital that the firm should use, and to clearly label both the isocost line and the isoquant.

Management discovers that a supervisor at one of its restaurant locations removes excess cash and resets sales totals throughout the day on the point-of-sale (pos) system. at closing, the supervisor deposits cash equal to the recorded sales on the pos system and keeps the rest.the supervisor forwards the close-of-day pos reports from the pos system along with a copy of the bank deposit slip to the company’s revenue accounting department. the revenue accounting department records the sales and the cash for the location in the general ledger and verifies the deposit slip to the bank statement. any differences between sales and deposits are recorded in an over/short account and, if necessary, followed up with the location supervisor. the customer food order checks are serially numbered, and it is the supervisor’s responsibility to see that they are accounted for at the end of each day. customerchecks and the transaction journal tapes from the pos system are kept by the supervisor for 1 week at the location and then destroyed.what control allowed the fraud to occur?

Interview notes mike is 50 and made $36,000 in wages in 2017. he is single and pays all the cost of keeping up his home. mike's daughter, brittany, lived with mike all year. brittany's son, hayden, was born in november 2017. hayden lived in mike's home since birth. brittany is 25, single, and had $1,500 in wages in 2017. she is not disabled. mike provides more than half of the support for both brittany and hayden. mike, brittany, and hayden are all u.s. citizens with valid social security numbers. 4. who can mike claim as a qualifying child(ren) for the earned income credit?

When the price of pencils increases from $1.50 to $2.50, there is an increase in quantity demanded of pens from 100 to 150. the cross-price elasticity of demand between pencils and pens is: ?