A monopoly sells in 2 separate markets. The demand functions are $\displaystyle Q_1=100-P_1$and $\displaystyle Q_2=140-2P_2 $with a constant variable cost of $10.

1. Suppose the monopoly were forced to charge 1 single price. What is the optimal price?

2. Suppose the monopoly can perfectly discriminate in both markets, calculate the profit for both market.

1. Should i combine both demand functions into one? So Q=240-3P?

2. For each market, should i set price = mc? so $\displaystyle 100-Q_1=10 $ and $\displaystyle 70-Q_2/2=10 $?

Thanks in advance