For each of the following utility functions, calculate (or figure out) the mrs and sketch outan indifference curve for u=4, plotting at least 2 points on each curve, and explain whether thepreferences violate the diminishing mrs or convexity of indifference curves. also make clear if theindifference curve hits the x and/or y axis. a)u(x, y) = ln x + 3ln yb) u (x ,y) =1/2 x+1/3y c) u(x, y) = min(2x, y)d) u(x, y) =sqrt( y) + x

Acompany determined that the budgeted cost of producing a product is $30 per unit. on june 1, there were 80,000 units on hand, the sales department budgeted sales of 300,000 units in june, and the company desires to have 120,000 units on hand on june 30. the budgeted cost of goods sold for june would be

Laurelton heating & cooling installs and services commercial heating and cooling systems. laurelton uses job costing to calculate the cost of its jobs. overhead is allocated to each job based on the number of direct labor hours spent on that job. at the beginning of the current year, laurelton estimated that its overhead for the coming year would be $ 61 comma 500. it also anticipated using 4 comma 100 direct labor hours for the year. in april comma laurelton started and completed the following two jobs: (click the icon to view the jobs.) laurelton paid a $ 20-per-hour wage rate to the employees who worked on these two jobs. read the requirements requirement 1. what is laurelton's predetermined overhead rate based on direct labor hours? determine the formula to calculate laurelton's predetermined overhead rate based on direct labor hours, then calculate the rate. / = predetermined overhead rate

Why should managers invest any excess cash