A firm operates a production technology that is represented by the following production function: f(x1, x2) = √ ax1 + bx2, where x1 and x2 are levels of variable factor 1 and 2, respectively. Denote the price of output, the price of factor 1 and the price of factor 2 by, p, w1 and w2, respectively. a. Assign some positive values for a and b and draw production isoquants corresponding to an output level 10 and 20. (15 points) b. Find the profit-maximizing levels of factor 1 and 2. (35 points) (Hint: You need to explore several cases to exhaust all possible situations)