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CalculusQ&A LibrarySuppose that a company's production for Q units of its product is given by the Cobb-Douglas production function shown below, where K is dollars of capital investment and L is labor hours. Q = 30K1/4L3/4 (a) Find Q if K = $625 and L = 625 hours.Q = (b) Show that if both K and L are doubled, then the output is doubled.Q(2K, 2L) = (c) If a capital investment is held at $10,000, graph Q as a function of L.Question

Suppose that a company's production for *Q* units of its product is given by the Cobb-Douglas production function shown below, where *K* is dollars of capital investment and *L* is labor hours.

Q = 30K^{1/4}L^{3/4}

(a) Find *Q* if *K* = $625 and *L* = 625 hours.

*Q* =

(b) Show that if*both K* and *L* are doubled, then the output is doubled.

*Q*(2*K*, 2*L*) =
(c) If a capital investment is held at $10,000, graph *Q* as a function of *L*.

(b) Show that if

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