A pricetaking rm has a production function given by y = 3(x3)1/3 (max{a:1, 8x2})1/3 where :61, x2 and x3 are inputs and y is output. Let 2111,1122 and 1113 denote input prices, and let p denote the output price. Solve the prot maximization problem and the correSponding cost minimization problem. While solving these problems motivate your approach