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(30 total points) suppose a firm’s production function is given by q = l1/2*k1/2. the marginal product of labor and the marginal product of capital are given by: mpl = 1/ 2 1/ 2 2l k , and mpk = 1/ 2 1/ 2 2k l . a) (12 points) if the price of labor is w = 48, and the price of capital is r = 12, how much labor and capital should the firm hire in order to minimize the cost of production if the firm wants to produce output q = 18?

Mordica company identifies three activities in its manufacturing process: machine setups, machining, and inspections. estimated annual overhead cost for each activity is $156,960, $382,800, and $84,640, respectively. the cost driver for each activity and the expected annual usage are number of setups 2,180, machine hours 25,520, and number of inspections 1,840. compute the overhead rate for each activity. machine setups $ per setup machining $ per machine hour inspections $ per inspection

Mystic bottling company bottles popular beverages in the bottling department. the beverages are produced by blending concentrate with water and sugar. the concentrate is purchased from a concentrate producer. the concentrate producer sets higher prices for the more popular concentrate flavors. a simplified bottling department cost of production report separating the cost of bottling the four flavors follows: