Suppose a monopoly supplied its market from two plants, with cost functions: C1 = 4 91 and C2 (92) = 2 97- The monopolist faces a linear demand p = 60 -4 @, where @ is the amount sold in this market, which is the total amount produced by both plants. Find the quantities produced at each plant to maximize the monopolist's profit. 41 = Number 42 Number Now check the second order conditions: The Hessian is sin (a) The principal minors are Hy = a sin (a) ? and H2 = sin (a) AT - fpositive definite negative definite indefinite Therefore the Hessian is Click for List and Click for Listthe Hessian is inconclusive. the solution is a maximum. the solution is a minimum. Therefore the Hessian is Click for List and Click for List