Suppose Malcolm has determined that his marginal utility schedules for used CDs paperback books (PB) are as followed: QCDS 1 2 3 4 5 a. 6 7 8 MUCDS TUCDS 39 36 30 24 18 15 9 6 39 75 105 129 147 162 171 177 MUCDS/PCDS 13 12 10 8 U S 3 2 QPB 1 2 3 5 6 7 8 MUPB 50 48 44 42 36 32 24 16 TUPB 50 98 142 184 220 252 276 292 M Suppose used CDs sell for $3 each and paperback books sell for $4 each. What are possible combinations of CDs and books that would maximize Malcolm's utility?
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- Describe the two approaches of utility analysis !Solve; a consumer utility function is given as 64q10.5q20.25q30.4 1. what is the marginal utility of consuming commodities q1, q2 and q3 2. derive the second-order partial derivatives of the utility function with respect to the three pairs of commodities 3. show the cross partial derivatives with respect to q1 4.what is her total utility when q1 is 24, q2 is 30, and q3 is 15A manufacturer of microwaves has discovered that male shoppers, on average, have lower values for microwave ovens than female shoppers. Additionally, male shoppers attribute almost no extra value to an auto-defrost feature, while female shoppers, on average, value the auto-defrost feature. The manufacturer has determined that men value a simple microwave at $70 and one with auto- defrost at $80, while women value a simple microwave at $80 and one with auto-defrost at $150. If there is an equal number of men and women, what pricing strategy will yield the greatest revenue?
- Solve; a consumer utility function is given as 64q10.5q20.25q30.4 2. derive the second-order partial derivatives of the utility function with respect to the three pairs of commoditiesIf marlow obtained 9 units of utility per dollar spent on apples and 6 units of utility per dollar spent on oranges, then MarloweThe dung beetle gets utility from consuming mud balls which are made out of mud and dung. Both inputs are measured in grams and perfectly divisible. Its utility from balls which contain m grams of mud and d grams of dung is u(m, d) = md. For reasons to do with the structural integrity of the balls, however, it cannot combine the two ingredients in very different quantities. The ratio of mud and dung it uses must fall between 1 : 2 and 2 : 1. Excess amounts of either ingredient are discarded at no cost to the dung beetle. (a) How much utility does the beetle get from the following bundles of mud and dung, (m, d)? i. (2,16). ii. (4,8). iii. (4,16). iv. (6,16/3). (b) Draw an indifference curve between mud and dung that represent the preferences of the dung beetle and gives the beetle a utility level of 32.
- The following data pertain to products A and B, both of which are purchased by Madame X. Initially, the prices of the products and quantities consumed are: PA = $10, QA = 3, PB = $10, QB = 7. Madame X has $100 to spend per time period. After a reduction in price of B, the prices and quantities consumed are: PA = $10, QA = 2.5, PB = $5, QB = 15. Assume that Madame X maximizes utility under both price conditions above. Also, note that if after the price reduction enough income were taken away from Madame X to put her back on the original indifference curve, she would consume this combination of A and B: QA = 1.5, QB = 9 Determine the change in consumption rate of good B due to (1) the substitution effect and (2) the income effect. Determine if product B is a normal, inferior, or Giffen good. Explain.. Ceja has utility function U=A2*B2 , where A equals the number of apples she eats each week, while B is the number of bananas she eats each week. Ceja has $20 to spend on fruit each week. The price of an apple is $1, while the price of a banana is $0.25. Find out the combination of Apples and Bananas that maximize Ceja’ satisfactionSuppose that each week Fiona buys 16 peaches and 4 apples at her local farmer's market. Both kinds of fruit cost $1 each. From this we can infer that: If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be greater than her marginal utility from the 4th apple she buys. Fiona is not maximizing her utility. If Fiona is maximizing her utility, then her marginal utility from the 16th peach she buys must be equal to her marginal utility from the 4th apple she buys. The law of diminishing marginal utility does not hold for Fiona.
- Please Show Each and Every Working VERY CLEARLY. There are NO multi-questions here, only just multi-PART questions which are CONNECTED to each other, and hence, Please do NOT Leave any, Thank You! Marginal Utility4. Show how to construct the reference dependent utility function for two friends Kate and Mary whose gains and losses are listed as follows : Kate's net worth is $ 4.5 million ( decreased from $ 5.5 to $ 4.5 million ) Mary's net worth $ 3.2 million ( increased from $ 3 to $ 3.2 million ) ( First determine the reference point ( use a parameter ) and then derive reference utility function for each ) .Consider a hypothetical consumer named Hayden who is shopping for bread and brie. The graph with bread and brie on the axes presents the utility‑maximizing combinations of bread and brie that Hayden chooses when the price of bread is $1.00$1.00 per loaf and the price of brie is $4.00$4.00 and $6.00$6.00 per wheel, respectively. The other graph shows Hayden's demand curve for brie. The two points and associated values in the graph for bread and brie combinations correspond to points A and B in the graph of the demand curve for brie. What are the specific prices and quantities of brie associated with points A and B on Hayden's demand curve? price of brie at point A: $$ quantity demanded at point A: price of brie at point B: $$ quantity demanded at point B: