Mr. Albert Richardson, a financial advisor at NNW Investments identified two companies that are likely candidates for a takeover in the near future. East End Cable is a leading manufacturer of flexible cable systems used in the construction industry, and CampSwitch is a new firm specializing in digital switching systems. East End Cable is currently trading at $40 per share, and CampSwitch is currently trading at $25 per share. If the takeovers occur, Mr. Richardson estimates that the price of East End Cable will go to $55 per share and CampSwitch will go to $43 per share. At this point in time, Mr. Richardson has identified CampSwitch as the higher-risk alternative.

Assume that a client has indicated a willingness to invest a maximum of $50,000.00 in the two companies. The client wants to invest at least $15,000.00 in East End Cable and at least 10,000.00 in CampSwitch. Because of the high risk associated with CampSwitch, Mr. Richardson has recommended that at most $25,000.00 should be invested in CampSwitch.

1. Determine the coordinates of each extreme point.
2. Find the optimal solution.