A copyright gave Universal Studios the legal monopoly to produce and sell the Mama Mia! DVD. The DVD sold for $20 in the United States and $36 (£22) in the United Kingdom. I estimate that the inverse demand functions for the United States and the United Kingdom were p_A = 39 - 3Q_A and p_B = 71 - 7Q_B, respectively.
The marginal cost in both countries was m = 1. Solve for Universal’s optimal quantities and prices.