When marginal utility is decreasing but positive, total utility is a increasing at a decreasing rate b increasing at an increasing rate c decreasing at a decreasing rate

If the price of food is $20, the price of clothing is $80, and annual income is $60,000, determine the number of units of food and clothing the consumer purchases and the amount of utility the consumer derives from the optimal combination.

U(x, y) = xayb A consumer maximises utility subject to a budget constraint M = Pxx+Pyy Where px is the price of good x, py is the price of good y and M is the budget available. a. Derive an expression for the marginal utility of x. Under what condition is the marginal utility diminishing. b. Derive an expression for the marginal utility of y. Under what condition is the marginal utility diminishing.

A monopoly, unlike a perfectly competitive firm, has some market power. Thus, it can raise its price, within limits, without quantity demanded falling to zero. The main way monopolies retain their market power is through barriers to entry, which prevent other companies from entering monopolized markets and competing for customers. Consider the market for taxi services. In order to own and operate a taxi, drivers are required to obtain a taxi medallion. Which of the following best explains the barriers to entry that exist in this scenario? Increasing returns to scale Control over an important input O Legal barriers

The following table reflects the utility one receives from consuming a given product.      Units Consumed   Total Utility (TU)       Marginal Utility (MU)           0                                     0                              -------           1                                    60                              60           2                                  ____                            50           3                                  150                              ____           4                                  175                              ____           5                                  ____                            20           6                                  210                              ____   Complete the table solving for the missing total utility or marginal utility values in each           row. Total utility increases throughout the table. What rate does total utility increase?  In other       words, is it rising at an increasing rate, a…

Kenji enjoys buying shoes. The following table contains information on Kenji's utility from shoes each month. Fill in the two missing cells of the table. Total Utility (Utils) 0 35 Shoes (Pairs) ON 36 90 110 125 135 Marginal Utility (Utils per pair) 35 30 25 15 10

Use the table below to answer the following question. Number of Units A) 95 B) 47.5 190 (D) 90 1 2 3 4 5 5 What is the marginal utility of the second unit? Total Utility 100 190 270 340 400 450

The value for X is

All A,B ,C ,D are required to solve

Question: How We Can Check Convexity And Monotonicity Of The Utility Function. How we can check convexity and monotonicity of the utility function.