You are a pricing analyst for QuantCrunch Corporation, a company that sells a statistical software pricing. To date, you only have one client. A recent internal study reveals that this client's demand for your software is Q = 300 - 0.2P and that it would cost you $1000 per unit to install and maintain software at this client's site. The CEO of your company recently asked you compare
1. The profit that results from charging this clients a single per-unit price with
( Hint first find Q* by applying MR=MC, and find the P*: Find maximum profit using the formular (P* - ATC)Q*)
2. The profit that results from two-part pricing
(Hint: set the per-unit price for each unit of the software installed and maintained equal to marginal cost: and charge a fixed "licensing fee" that extracts all consumer surplus from the client)