A rm has a production function of q(L;K) = 4L 1=4K 1=4 . (a) Does this production function have increasing, decreasing, or constant returns to scale? (b) Find the factor demand functions (in their simpli ed forms). (c) Find the cost function (in its simpli ed form). (d) This rm is a price taker, and the market price is $40. For w = $4 and r = $25, nd the pro t- maximizing quantity and pro t