3. James has a monopoly on a board game called "Fly High" and faces a demand curve given by \( Q{T} = 100 - P \), where \( Q{T} \) equals the combined total number of games produced per hour in the company's two factories (\( Q{T} = q{1} + q{2} \)). If factory 1 has a marginal cost function given by \( MC{1} = q{1} - 5 \) and factory 2 has a marginal cost function given by \( MC{2} = 0.5q_{2} - 5 \), how much total output will James choose to produce and how will he divide this output between its two factories in order to maximize profits? (10%)