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Suppose a monopoly supplied its market from two plants, with cost functions: _ _ 2 I31 32 q] BRUCE {4:2} 4q . The monopolist faces

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Suppose a monopoly supplied its market from two plants, with cost functions: _ _ 2 I31 32 q] BRUCE {4:2} 4q . The monopolist faces a linear demand? = 312 4 {2T where Q is the amountsold in this marltet, which is the total: Find the quantities produced at each plant to maximize the monopolist's prot q1 = Number r32 = Number How checlt the second order conditions: The Hessian is at sine} r m a it ill] 9 The principal minors are H] = a sine} g: m a o in a The principal minors are #1 = b sin (a) CE ? aI pi and Ho = sin (a) f LE ? aI positive definite indefinite negative definite Therefore the Hessian is Click for List and Click for Listthe Hessian is inconclusive. the solution is a minimum. the solution is a maximum. Therefore the Hessian is Click for List and Click for List

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