Match Netflix profit; derive required subscribers

Treat all figures as monthly. In the earlier break-even calculation, F = $100M, p = $9, and v = $4, so the contribution margin per subscriber is $p - v$. Let “Netflix” mean a subscriber base equal to 4 times the break-even subscriber count under those economics, with F, p, and v kept the same as above. a) Calculate Netflix’s monthly profit. b) Now take your startup, where fixed cost is treated as F' = $150M (an investment to be repaid, so it acts as fixed cost this period), variable cost is v' = $4, and price is p' = $15 (from producing 30 shows under the WTP curve). How many subscribers are needed to match Netflix’s monthly profit? Show all algebra and units.

Overview: This question assesses algebraic modeling of subscription profit and break-even analysis, checking understanding of fixed versus variable costs, unit consistency, and proportional scaling of subscriber bases within the Statistics & Math domain.