Afirm produces output (y) using two inputs, labor (l) and capital (k), according to the following cobb-douglas production function: y = f(l, k) = l^0.25 k^0.75. assume that =100 and k=50 and suppose that the firm decides to reduce its use of capital and replace those machine hours with some additional labor hours. approximately how many labor hours will the firm need to add for each machine hour it cut in order to maintain the same level of output (i. e., stay on the same isoquant)? give your answer to two decimal places.

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?