A firm's production function is given by Q = 4L^0.6K^0.4....

A firm's production function is given by Q = 4L$^{0.6}$K$^{0.4}$. The firm currently uses the input combination L = 1,000 and K = 1,000. Which of these combinations of L and K lies on the same isoquant? L = 500; K = 2,828.43 L = 2,828.43; K = 528.43 L = 500; K = 2,000 L = 828; K = 1,172

Power Goat Lawn Company uses two sizes of mowers to cut lawns. The smaller mowers have a 22 -inch deck. The larger ones combine two of the 22 -inch decks in a single mower. For each size of mower, Power Goat has a different production function, given by the rows of the following table. a. Graph the $q=40,000$ square feet isoquant for the first production function. How much $k$ and $l$ would be used if these factors were combined without waste? b. Answer part (a) for the second function. c. How much $k$ and $l$ would be used without waste if half of the 40,000 -square-foot lawn were cut by the method of the first production function and half by the method of the second? How much $k$ and $l$ would be used if one fourth of the lawn were cut by the first method and three fourths by the second? What does it mean to speak of fractions of $k$ and $l$ ? d. Based on your observations in part $(c),$ draw a $q=40,000$ isoquant for the combined production functions.

Question

A firm's production function is given by Q = 4L$^{0.6}$K$^{0.4}$. The firm currently uses the input combination L = 1,000 and K = 1,000. Which of these combinations of L and K lies on the same isoquant? L = 500; K = 2,828.43 L = 2,828.43; K = 528.43 L = 500; K = 2,000 L = 828; K = 1,172

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