Sophia currently has 2.00 graham crackers and 2 glasses of milk. Determine whether the bundles shown below would be equally preferred, more preferred, or less preferred than what Sophia currently has. Items (5 items) (Drag and drop into the appropriate area below) (2.00 graham crackers, 3 glasses of milk) (3.00 graham crackers, 2 glasses of milk) (3.00 graham crackers, 3 glasses of milk) (3.00 graham crackers, 1 glass of milk) (1.00 graham crackers, 2 glasses of milk
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- 2Your 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.Give explanation of the correct option and explanation of the incorrect options will upvote. No answer from Chat GPT will downvote
- You are in the market for a new couch and havefound two advertisements for the kind of couchyou want to buy. One seller notes in her ad that sheis selling because she is moving to a smaller apartment, and the couch won’t fit in the new space.The other seller says he is selling because the couchdoesn’t match his other furniture. Which seller doyou expect to buy from? Why? ( Hint: Think whowould be the more motivated seller.)Elapsed time (in minutes) 30 60 90 120 150 Total utility of playing video games 20 45 63 78 83 40 62 72 76 76 Total utility of swimming ▸ Jenny pays $5 per hour to use the local swimming pool. What is her marginal utility per dollar for the first half hour of swimming?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…
- If the utility function (U) between food (F) and clothing (C) can be represented as U = F*C, then which combination of food and clothing will a rational consumer choose? a. (F, C) = (9, 25) O b. (F, C) = (25, 4) O c. (F, C) = (4, 16) d. (F, C) = (4, 25)It is a set of those combination of two goods which offer the consumer the same level of satisfaction. ONE WORDComplete the following table
- Only typed solutionThe relationship between the marginal utility that George gets from eating a bag of cookies and the number of bags he eats per month is as follows: Bags of Cookies 1 2 3 4 S 6 Marginal Utility 20 16 12 8 4 0 George receives 2 units of utility from the last dollar spent on each of the other goods he consumes. If cookies cost $4 per bag, how many bags of cookies will he consume per month if he maximizes utility? Add your answer Integer, decimal, or E notation allowed Question 10 If the utility function for the consumer is: U= min{10 x1, 50 x2} P₁= 4, P₂-6 and 1-2,000 What is the optimal amount of x₁? 10 PointsThe following five individuals have different utility functions over food (good x) and clothing (good y): 1) u₁(x, y) = 3x²y 2) u₂(x, y) = 2√x + y 3) Uz(x, y) = x0.6y0.4 4) u₁(x, y) = x² + y² 1 5) us(x, y) = x + 3y For each of these people: a) Compute their marginal utilities of good x, MUx = Ju(x,y) MU, = ду du(x,y) ax b) Check whether the property of "more is better" is satisfied for both goods? Explain. [Hint: Check whether marginal utilities are positive assuming positive amounts of good x and good y] ƏMUX əx and marginal utility of good y, c) Does the marginal utility of good x diminish, remain constant, or increase as each of the individuals buys more x? Explain. [Hint: There are 2 ways to do it: 1) visually check what happens to the expression of MUx when x increases (does it decrease, keep constant or decrease?); or 2) take the partial derivative of this marginal utility with respect to x, that is ƏMUx .aMUX ƏMUX If 0, the marginal utility of x is increasing in x] d) Does the…