may you please help find how many untis firm one. must sell to maximize profits. use image for reference.

Consider a Duopoly model, in which two firms decide a quantity simultaneously. The market demand is given by P=100 - 2Q, where Q is the total output (i.e., Q=Q1+Q2). Each firm has an identical cost function, TC;=11Q;, i=1, 2. If Firm 1 believes Q2=12, Firm 1 should sell Q1= units in order to maximize its profit. (Answer just the number up to 2 decimal places.) Your