In the era of the Covid 19 pandemic, we are required to consume lots of fresh fruits. The satisfaction of a consumer in consuming two kinds of fruit, namely Apples (X) and Oranges (Y) is: U = X3 Y2 income or budget to buy the two fruits is Rp. 250,000, the price of apples IDR 75,000/fruit and the price of oranges is IDR 25,000/fruit. a. How many apples and oranges must be obtained in order to achieve optimum satisfaction b. Calculate the optimum satisfaction value that can be achieved

In the era of the Covid 19 pandemic, we are required to consume lots of fresh fruits. The satisfaction of a consumer in consuming two kinds of fruit, namely Apples (X) and Oranges (Y) is: U = X3 Y2 income or budget to buy the two fruits is Rp. 250,000, the price of apples IDR 75,000/fruit and the price of oranges is IDR 25,000/fruit. a. How many apples and oranges must be obtained in order to achieve optimum satisfaction b. Calculate the optimum satisfaction value that can be achieved

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter4: Utility Maximization And Choice

Section: Chapter Questions

Problem 4.3P

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Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. Find Alexi's income-consumption curve for slices of bread for incomes between $0 and $21, assuming a price of $1 per slice.
Alexi has a budget of $21 to spend on toaster and breads. He does not directly gain any utility from owining a toaster but for every slice of toasted bread he consumes he gain 2 units of utility, that is if he owns a toaster. Without the toaster, he gain 0 units of utility from consuming plain bread. Suppose the toaster has inferior quality and will break after toasting only 10 slices, then Alexi needs to buy a new one. The current market price for cheap toaster is $5 and the price for a single slice of bread is $1. Assume that Alexi aims to maximize consumer surplus. In a graph, draw total utility as a function of number of toasted slices, assuming that Alexi buys 1 toaster.
. On a given evening, J. P. enjoys the consumption of cigars (c) and brandy (b) according to thefunctionU (c, b) = 20c - c2 +18b- 3b2.How many cigars and glasses of brandy does he consume during an evening? (Cost is no objectto J. P.)b. Lately, however, J. P. has been advised by his doctors that he should limit the sum of glasses ofbrandy and cigars consumed to 5. How many glasses of brandy and cigars will he consumeunder these circumstances?
Digital Apps per Period 0 1 2 3 4 5 Total Utility of Digital Apps per Period (utils) which 0 50.0 95.0 135.0 171.5 200.0 Marginal Utility (utils) 50.0 45.0 40.0 36.5 28.5 Marginal Utility Portable per Dollars Spent Power Banks (price = $5.97) per Period | 8.4 7.5 6.7 6.1 4.8 0 1 GTA W N 3 4 5 Total Utility of Portable Power Banks per Period (utils) 0 25 47 65 80 89 Marginal Utility (utils) 25 22 18 15 9 Marginal Utility per Dollars Spent (price = $2.70) 9.3 8.1 6.7 5.6 3.3 Consider the table above. Suppose the consumer's income is $26. Does the consumer spend all of her income if she purchases the optimal quantities of digital apps and portable power banks? The optimum quantity of digital apps purchased is and the optimum quantity of portable power banks purchased is. (Enter your responses as whole numbers.) Spending on digital apps is $ and spending on portable power banks is $. (Enter your responses rounded to one decimal place.) Thus, total spending at the consumer optimum is $ the…
Your own a chocolate producing company which can advertise on both television (T) and internet(I). The effect of TV and online commercials on sales is again given byS(T,I) = 500 + 48T−6T2+ 112I−6I2+ 4TI. You have a budget of $25 that you can spend on T and I. The price of aTV commercial is $12per unit and the price of an online commercial is also $12 per unit. 1. Determine the optimal level of TV commercials T and online commercials I if you have to spend all of your budget. You should provide two methods to solve this, by direct substitution and by setting up the Lagrangian. Is the Lagrange multiplier positive or negative? Give an intuitive interpretation of why this is the case? 2. Now determine the optimal level of TV commercials T and online commercials I if you DO NOT have to spend all of your budget. Do you obtain the same answer as subquestion 5.1? What is the Lagrange multiplier equal to in this case? Discuss.
Please no written by hand and no emage Consider a consumer that consumes 2 teaspoons of sugar with each cup of coffee. For each cup of coffee with sugar the consumer gains 10 utils.a) Write down the utility function that gives the total utility if the consumer consumes S teaspoons of sugar and C cups of coffee. The consumer has assigned £7 per week to be spent on drinking coffee with sugar. The current price of coffee is £0.50 per cup and each spoon of sugar costs £0.10. b) Calculate the optimal weekly consumption bundle for this consumer.c) Does the consumer view C and S as complements or substitutes?
Number of Sodas per day Total Utility Marginal Utilit 1 20 35 3 47 12 4 10 Refer to the table, The marginal utility of the second soda per day is L. (Answer should be in the form of numerical characters, e.g. 20) Enter your answer here
Elapsed time (in minutes) 30 60 90 120 150 Total utility of playing video games 20 45 63 78 83 Total utility of swimming 40 62 72 76 76 Jenny spends an average of $3 each hour she plays video games. What is her marginal utility per dollar for the second half hour?
Martha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in 'utils'; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility Utility from from Exercise Music 50 utils O utils from O hours of exercise from 5 hours of music 25 utils for 1 hours of 45 utils from 4 hours of exercise music 40 35 45 20 50 The utility patterns in the table illustrate the law of marginal diminishing utility because ... The total utility Martha receives from music decreases The increase in utility for each additional hour Martha exercises falls The total utility Martha receives from exercise decreases Martha…
Martha spends 5 hours of free time exercising and playing music per day. The table below represents the level of utility she receives from the various combinations of exercise and music activities. For instance, if she only plays music, her total utility from exercise will be 0, and the utility from music will be 50. If she exercises for 1 hour, she will receive a level of utility of 25. Utility is measured in ‘utils’; those numbers are arbitrary and designed to quantify the benefits received from various actions. Utility for Exercise Utility from Music 0 utils from 0 hours of exercise 50 utils from 5 hours of music 25 utils for 1 hours of exercise 45 utils from 4 hours of music 40 35 45 20 50 0 Marginal analysis will help Martha in her decision making regarding how to spend her free time because ... All answers are correct. She will realize which activity is more important to her. She will be able to find the combination of music and exercise which gives…
DmISIIng Margifal Otmty n. TOTAL AND MARGINAL UTILITY Reset E UTILITY CALCULATIONS Total Utility Quantity Consumed Total Marginal Utility 70 Utility 60 50 22 40 1 22 30 18 20 40 10 14 2 3 4 54 Quantity Consumed 10 Marginal Utility 4 64 20 6. 10 70 3. 6. -10 6. 72 -20 -2 7 70 Quantity Consumed Quantity Consumed -6 8. 64 8 Prev 1 of 3 Score answer > ...
The government of the island nation of Autarka has become increasingly concerned aboutthe health and wellbeing of low income households. Medical experts stress the importanceof a healthy diet in this regard. They have determined that, ideally, a household wouldconsume at least 5kg of fresh fruit and vegetables each week.The government has proposed implementing a new voucher scheme to ensure that the5kg per week consumption target is met. Under the government’s proposal, the voucherswould be redeemable for fresh fruit and vegetables, but could not be used for other typesof food, or for non-food consumption. Moreover, to limit the cost of the voucher scheme,the value of the vouchers sent to a household would be linked to the household’s income.Community groups in Autarka have expressed concern that a voucher scheme is unnec-essarily paternalistic; depriving low income households of the choice of how to spend theirincome. These groups argue that the government’s consumption targets could…