3. A rm produces output, y, using hours worked by labour, 3:, according to the function y = a. Th cost of labour is I: per hour. Each unit of output sells for 3:) dollars. Assume :c 23 l and p :> a > k wher a, k, p are positive constants. The rm is a price-taker in a perfectly competitive market. (3.) Write the rm's prot function, cost function, and revenue function. (h) Find all critical points according to the rst-order necessary condition. (c) Use the second derivative test to check whether this/these critical point(s) is/are an extreme valu and a maximum