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1. This exercise asks you to calculate marginal utilities and marginal rates of substitution for some common utility functions. These utility functions will reappear in

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1. This exercise asks you to calculate marginal utilities and marginal rates of substitution for some common utility functions. These utility functions will reappear in several chapters, so it is a good idea to get to know them now. If you know calculus, you will find this to be a breeze. Even if your calculus is shaky or nonexistent, you can handle the first three utility functions just by using the definitions in the textbook. These three are easy because the utility functions are linear. If you do not know any calculus, fill in the rest of the answers from the back of the workbook and keep a copy of this exercise for reference when you encounter these utility functions in later problems. u(T1, X2) MU1($1, 12) MU2(1 1, 12) MRS(X1, 12) 2c1 + 312 a. b. C. d. e. 4x] + 6x2 ax] + bx2 g. h. J . k. m. n. O. xi + x P. q. r. (1 + 2)(2 + 1) S. (21 + a)(2:2 + 6) V. W. X

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