Answer to Question #226846 in Microeconomics for sri

Question #226846

Assume that Smith consumes good X and his total utility function of good X is given by: 𝑇𝑒π‘₯ = 30𝑋2 – 0.5𝑋3 I. Obtain 𝑀𝑒π‘₯ and 𝐴𝑒π‘₯ functions.

II. At what level of good X, 𝑀𝑒π‘₯ will be maximum?

III. Find the value of total utility where 𝑀𝑒π‘₯ is maximum.

IV. From what level of good X, law of diminishing marginal utility will start to operate?

V. Find the value of good X where 𝑀𝑒π‘₯ curve cuts the 𝐴𝑒π‘₯ curve at its maximum.

VI. At what level of good X, 𝑀𝑒π‘₯ π‘’π‘žπ‘’π‘Žπ‘™ 𝐴𝑒π‘₯ . What is their values at this unit of good X.

VII. How many units of good X, he should consume to get the maximum satisfaction? What is the maximum value of total satisfaction at this point?

VIII. Frome what unit of good X, 𝑀𝑒π‘₯ become negavtive?

IX. Estimate the value of 𝐴𝑒π‘₯ π‘€β„Žπ‘’π‘› 𝑀𝑒π‘₯ is maximum?

X. Draw the 𝑇𝑒π‘₯ , 𝑀𝑒π‘₯ and 𝐴𝑒π‘₯ curves on a graph and indicate the above all values on the graphs.


1
Expert's answer
2021-08-17T13:12:06-0400
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