2. (19%) Assume the production cost [dollarsi'unitll for a manufacturing unit of a certain fix] =sc-\"W'7 product is given bv ' where x is the number of units produced {Note: Although, at is in unit of integer counting, it can be considered a continuum value in the mathematical operation; i.e., a fraction of unit is allowed.) {a} Show that the marginal cost of the production {dened as, f'lx}, as showing in Sect. 2.1] decreases as 3: increases. {b} Determine the minimum volume of production, it, required to achieve a margin of production cost less than $.2