The primary aim here should be to maximize profit.
Below table gives the Willingness –to-pay of Concert Patrons:
Case 1: Only Bundling
Bundle at $50- This is the maximum that the last two categories of patrons are ready to pay. Hence, the revenue we get is $200.
Bundle at $60- Only the top two categories of patrons are ready to pay this amount for both the concerts together. The revenue we get is $120.
So by bundling, the maximum we can get is $200.
Case 2: Not bundling
Both concert tickets individually $20 – In this case we are not capturing Tchaikovsky lover patron for the Bartok/Stravinsky concert and the Sophisticate patron for the Berlioz/Tchaikovsky concert. The maximum revenue we get by doing so is $120.
Both concert tickets individually $40 – In this case we are not capturing Romantic & Tchaikovsky lover patron for the Bartok/Stravinsky concert and the Sophisticate & Neo-Classical patron for the Berlioz/Tchaikovsky concert. The maximum revenue we get by doing so is $160.
So the maximum we can gain by NOT BUNDLING AT ALL is $160.
Case 3: Mix of Bundle and Individual
Bundle at $60 and sell Individual tickets at $45 – The Romantic & Neo-Classical Patrons for both the concerts shall pick the bundle at $60. The Tchaikovsky lover and Sophisticate patrons shall pick the individual tickets for Berlioz/Tchaikovsky and the Bartok/Stravinsky concerts respectively at $45. But we are unable to capture Sophisticate patron for the Berlioz/Tchaikovsky concert and Tchaikovsky lover patron for the Bartok/Stravinsky concert. The revenue we get by doing this $210.
So the maximum we get by keeping a mix of both bundling and individual tickets is $210.
From the above analysis, we can easily conclude that keeping a mix of bundling (at $60) and individual tickets (at $45) is the