Graph WTP vs content and explain cap

Customers' maximum willingness to pay (WTP) climbs linearly with the number of shows offered: it is $0 at 0 shows, $20 at 40 shows, and is capped at $20 for any higher amount of content. a) Sketch the WTP-versus-content curve and give the piecewise formula that describes it. b) Below 40 shows, how much does WTP rise at the margin for each extra show? c) Explain why projecting the line upward beyond 40 is incorrect in this setting and which market condition the cap captures.

Overview: This question tests understanding of piecewise linear functions, marginal analysis, and the economic interpretation of willingness-to-pay, within the Statistics & Math domain for a Data Scientist role.