A monopolist produces a unique product in three different plants, each with its own marginal cost structure. The overall market demand for the product is governed by the demand function = 128 - 8* P,where is the total quantity demanded, and Pis the market price. To meet this demand, the monopolist must decide on the allocation of production quantities Q1, Q2 and Q3 across Plant 1, Plant 2, and Plant 3 respectively. The marginal costs (MC) for producing the good in each plant are as follows: MC₁ = 1, MC₂ = 1 + 2 and MC3Q3. How many units should the monopolist optimally produce in Plant 1 to contribute to the total market demand 62 units O unit 63 units

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