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Question: please write neatly so i can understand and differentiate the...

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Given: U(x,,x,)-3x 6x2 P 4, P5,1 20 a) Write the function for the indifference curve and graph it. b) Write the function for the budget constraint and graph it c) What are the utility maximizing amounts of xand x2 given the budget constraint:? d) Do the utility maximizing amounts of x and x2 change if P increases to 5 while P stays constant at 5? Why or why not? e) Do the utility maximizing amounts of x and x2 change if P2 increases to 9 while P stays constant at 4? Why or why not?

PLEASE WRITE NEATLY SO I CAN UNDERSTAND AND DIFFERENTIATE THE VARIOUS SYMBOLS AND VARIABLES.

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