Solve it.

5. Suppose the rm's production function is given by f (L,K ) = L% + K i. As usual, let w, r, and p be the price of labor, capital, and the output good, respectively. (a) Find the rm's (long-run) conditional input demands. (You may assume that the solution will be interior). Do they satisfy the law of demand? Thatis,ae Wand W50. (b) Find the rm's (long-run) supply function. (You may assume that the sec- ond order condition is satised). Is the law of supply satised? That is, is 6y(p) W 32 0