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

Paar corporation bought 100 percent of kimmel, inc., on january 1, 2012. on that date, paar’s equipment (10-year life) has a book value of $420,000 but a fair value of $520,000. kimmel has equipment (10-year life) with a book value of $272,000 but a fair value of $400,000. paar uses the equity method to record its investment in kimmel. on december 31, 2014, paar has equipment with a book value of $294,000 but a fair value of $445,200. kimmel has equipment with a book value of $190,400 but a fair value of $357,000. the consolidated balance for the equipment account as of december 31, 2014 is $574,000. what would be the impact on consolidated balance for the equipment account as of december 31, 2014 if the parent had applied the initial value method rather than the equity method? the balance in the consolidated equipment account cannot be determined for the initial value method using the information given. the consolidated equipment account would have a higher reported balance. the consolidated equipment account would have a lower reported balance. no effect: the method the parent uses is for internal reporting purposes only and has no impact on consolidated totals.

Rats that received electric shocks were unlikely to develop ulcers if the

Bayside coatings company purchased waterproofing equipment on january 2, 20y4, for $190,000. the equipment was expected to have a useful life of four years and a residual value of $9,000. instructions: determine the amount of depreciation expense for the years ended december 31, 20y4, 20y5, 20y6, and 20y7, by (a) the straight-line method and (b) the double-declining-balance method. also determine the total depreciation expense for the four years by each method. depreciation expense year straight-line method double-declining-balance method 20y4 $ $ 20y5 20y6 20y7 total $