2. Q=10L0.5 K0.5, where Q is the output of Chianti (a popular wine sold by Raffaldini's Vineyard and Winery, located in the Yadkin Valley of North Carolina), L is labor and K is capital. w=$80, r=$20 where w is the wage rate and r is the cost of capital. Output price is $10 and is constant (competitive industry). Input prices are also constant (competitive input markets).

a) In the short-run, capital is fixed at 20 units. Determine the profit-maximizing L in the short run.

b) For the level of Q you found in a), find K, L you recommend using in the long run.