Please give me a handwritten answer

2. A zero fixed-cost rm has a Cobb-Douglas production function F{L,K) = WKJ8 with a :r- 0 and 113 :=- 0. (a) First, show that such a production function exhibits decreasing returns to scale if and only if a + ii at 1. (b) Show that this rm's conditional factor demand functions can be written as L(q,w, r] = TLEW, itjiqlfl'Jrll and K01, w, r} = \"(in rlqlmgl for some positive values \"(in r} and \"(in r). (c) Show that the rm's cost function can be written as C(q,w,r) = n-[w,r}q\"[\"+ll for some positive value YC(W9r}' [d] Show that this cost function is strictly convex with respect to q if and only if a + ,6 2, then the rm has \"infinite\" [or maximum capactiy) supply, whereas if p