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If k =20, optimal solution is * x1 =15, * x2 =5, and y* =15 5ln5.+ Because x2 provides a diminishing marginal increment to y as its value increases, whereas x1 does not, all optimal solutions require that once x2 reaches 5, any extra amounts be devoted entirely to x1. Walter Nicholson. If you need any solutions manual, you can send email with your own title to download it Microeconomic theory basic principles and extensions 10th edition solution manual pdf. Walter Nicholson Christopher Snyder.Microeconomic Theory: Basic Principles and Extensions with Economic. Walter Nicholson Christopher Snyder AbeBooks. Solutions Manual for Microeconomic Theory Basic Principles and Extensions 12th Edition by Nicholson IBSN 9781305505797. 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