A monopolist produces a single good from the utilization of two plants, plant 1 and plant2. It faces an inverse demand curve of: P = 1100 -2Q, where...

A monopolist produces a single good from the utilization of two plants, plant 1 and plant2.  It faces an inverse demand curve of: P = 1100 -2Q, where Q is total quantityproduced, thus Q = q1+ q2.  q1= quantity produced in plant 1 and q2= quantity producedin plant two.  Plant 1 is an older plant and has a marginal cost of production equal to10q1.  Plant 2 is newer and its marginal cost of production is 5q2.  How much should thismonopolist produce in total and how much will each plant be producing at the profit

maximizing level of output?