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- Question 15 Nadia says, "You would have to pay me L.E. 600 for me to be willing to attend that concert." For Nadia, the marginal utility of the concert is: positive, but declines rapidly. negative. zero. positive, but less than the ticket price.Consider the following consumer utility maximization problem: How much x and y will this consumer consume? 2 3 5 5 max x y x,y s.t. 4x + 9y ≤ 180 x20, y 20 XQ1. You have Rs.10. The price of samosa is Rs.1 per unit. The price of a steak sandwich is Rs.3 The utility received from consuming samosa and steak is given below. a. How many samosas and steak sandwiches should be bought to maximize utility? Calculate utility maximizing quantities of samosas and steak sandwiches when income equals Rs.10 and the price of beer is Rs.1 and the price of steak sandwiches is Rs.3 using the utility b. maximizing rule No. of TU of samosa MU of No. of steaks TU of steaks MU of steaks samosas samosa 1 15 1 24 2 24 45 32 63 4 39 4 75 45 84 47 87
- 3. If MU,1/Px1 > MU,2/PX2 is the consumer maximizing his utility? Explain how to maximize it if your answer is no?Diminishing Marginal Utility. Explain the law of diminishing marginal utility Discuss an instance where you have experienced this. Do consumers continue to purchase something even though its marginal utility is decreasing? Why or why not?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.
- Mariah consumes music downloads (M) and concert tickets (C). Her utility function is giveh by U = 0.5M? + 2C². a. Using calculus, what is the marginal utility of music downloads? b. Using calculus, what is the marginal utility of concert tickets? Write the equation for the MRSMC (i.e., the MRS of C for M; M is increasing, C is С. decreasing). d. Would the bundles of (M = 4 and C = 1) and (M = 2 and C = 2) be on the same %3D %3D %3D %3D indifference curve? How would you know? e. Calculate the MRSMC when M = 4 and C =1 and when M = 2 and C = 2. Explain why the %3D %3D values of MRSMC differ across these two bundles. f. Based on your answers above, are Mariah's indifference curves convex? Explain using the values calculated. er thisConsumer spends $450 per week on two goods, X and Y. PX= $5 and PY=$3. His utility function is U= 0.5Xy2. What quantities of X and Y does he buy each week in equilibrium?Consider the following consumer utility maximization problem: How much x and y will this consumer consume?
- Illustrate and explain how consumer equilibrium is achieved using the indifference curve?Discuss how the demand elasticity of a product changes? Give examples.Question 1 Consider a consumer with utility x₁2/3x21/3 and a budget constraint of 3x₁+6x2 ≤100. What is the maximum utility the consumer can achieveRick eats only french fries and burgers at his office cafeteria. His weekly lunch budget is $48. Each burger costs $6 and each order of fries costs $3. When deciding how much of each good to buy, Rick knows that 2 burgers and 4 orders of french fries will give him a utility of 8. At his utility-maximizing point, Rick's utility is: