31 Joe Low Effort Sarah Low Effort High Effort 7 13 High Effort 15 10 The figure shown represents the payoffs involved when Sarah and Joe work on a school project together for a single grade. They both will enjoy a higher grade when more effort is put into the project, but they also get pleasure from goofing off and not working on the project. The payoffs can be thought of as the utility each would get from the effort they individually put forth and the grade they jointly receive. What payoff can we predict Joe will receive as the outcome of this game? Multiple Choice
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- QUESTION 23 Quantity Per Week 0 1234 00 0 5 6 7 8 9 Amy 0 5.0 9.9 14.7 194 24.0 28.5 329 37.2 414 Total Utility David 0 600 1200 1800 2400 3000 3600 4200 4800 5400 Robert 0 100 190 270 340 400 450 490 520 510 Michelle 0 60 130 220 310 425 575 900 1275 1770 Refer to the above table. Which of the four people have utility schedules characterized by the law of diminishing marginal utility? O Michelle and David only O Amy and Robert only Michelle only Amy, Robert, and David onlyPraxilla, who lived in ancient Greece, derivesutility from reading poems and from eating cucumbers.Praxilla gets 30 units of marginal utility from her firstpoem, 27 units of marginal utility from her secondpoem, 24 units of marginal utility from her third poem,and so on, with marginal utility declining by three unitsfor each additional poem. Praxilla gets six units ofmarginal utility for each of her first three cucumbersconsumed, five units of marginal utility for each of hernext three cucumbers consumed, four units of marginalutility for each of the following three cucumbersconsumed, and so on, with marginal utility declining byone for every three cucumbers consumed. A poem coststhree bronze coins but a cucumber costs only one bronzecoin. Praxilla has 18 bronze coins. Sketch Praxilla’sbudget set between poems and cucumbers, placingpoems on the vertical axis and cucumbers on thehorizontal axis. Start off with the choice of zero poemsand 18 cucumbers, and calculate the changes in…Praxilla, who lived in ancient Greece, derives utility from reading poems and from eating cucumbers. Praxilla gets 30 units of marginal utility from her first poem 27 units of marginal utility from her second poem 24 units of marginal utility from her third poem, and so on, with marginal utility declining by three units for each additional poem. Praxilla gets six units of marginal utility for each of her next three cucumbers consumed, five units of marginal utility for each of her next three cucumbers consumed, four units of marginal utility for each of the following three cucumbers consumed, and so on, with marginal utility declining by one for every three cucumber consumed. A poem costs three bronze coins hut a cucumber costs only one bronze coin. Praxilla has 18 bronze coins. Sketch Praxillas budget set between poems and cucumbers, placing poems on the vertical axis and cucumbers on the horizontal axis. Start off with the choice of zero poems and 18 cucumbers, and calculate the changes in marginal utility of moving along the budget line to the next choice of one poem and 15 cucumbers. Using this step-by-step process based on marginal utility, create a table and identify Praxillas utility—maximizing choice. Compare the marginal utility of the two goods and the relative prices at the optimal choice to see if the expected relationship holds. Hint: Label the table columns: 1) Choice, 2} Marginal Gain from More Poems, 3) Marginal Loss from Fewer Cucumbers, 4) Overall Gain or Loss, 5) Is the previous choice Optimal? Label the table rows: 1) 0 Poems and 18 Cucumbers, 2) 1 Poem and 15 cucumbers, 3) 2 Poems and 12 cucumbers, 4) 3 Poems and 9 Cucumbers, 5) 4 Poems and 6 cucumbers 6) 5 Poems and 3 Cucumbers, 7) 6 Poems and 0 Cucumbers.
- Consider a town with a single street of 1 km long with 3,000 people spread uniformly along it. Two stores, 1 and 2, are located at the opposite ends of the street and sell the same product (store 1 is locatedattheleftend).Thecostofwalkingist1 =$6perkmtostore1andt2 =$9perkmtostore2for each consumer. The net utility of a consumer located at point x from buying a product at store 1 is U1(x) = 100 – p1 – t1x, where pi is a price of the product at store i = 1,2. The net utility from buying at store 2 is U2(x) = 100 – p2 – t2(1 – x). The average cost of the product for each store is c = 4. (a) Assume that all consumers buy product from the sellers. Find the demand functions Di(p1,p2) and the profit functions πi(p1,p2) for each store i = 1,2 as functions of prices p1,p2.(b) Find the equilibrium prices.1. Alizeh and Kelly were traveling together and have gotten stranded at an airport overnight. They have no cash, but they did both think to bring granola bars and turkey sandwiches with them. They currently each have several granola bars and a few sandwiches. Alizeh announces that she'd be willing to give up a granola bar for one turkey sandwich. Kelly responds that turkey sandwiches are bigger than granola bars so she would be willing to give up a granola bar if she could get half a turkey sandwich. Is Kelly and Alizeh's current allocation of granola bars and turkey sandwiches efficient? Explain why or why not. (Note that you cannot rely on a rule here – you have to specifically explain why the allocation does or does not meet the definition of an efficient allocation.)Mega Partner is selling two products Marker(m) and Eraser(e) and their budget is given with thefollowing equation: 15Qe+ 30Qm= 3000. Now answer the following questions. I. Draw the budget line for Mega PartnerII. What would be the highest amount spend on Marker with the existing budgetIII. If Total budget increases to 4500 what would be the new budget line (use diagram)IV. If Price of the Marker becomes 15, how this changes the existing budget line keeping allthe values remain same.
- 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.)John likes Coca-Cola. After consuming one Coke, John has a total utility of 10 utils. After two Cokes, he has a total utility of 25 utils. After three Cokes, he has a total utility of 50 utils. Does John show diminishing marginal utility for Coke, or does he show increasing marginal utility for Coke? Supposethat John has $3 in his pocket. If Cokes cost $1 each and John is willing to spend one of his dollars on purchasing a first can of Coke, would he spend his second dollar on a Coke, too? What about the third dollar? If John’s marginal utility for Coke keeps on increasing no matter how many Cokes he drinks, would it be fair to say that he is addicted to Coke?Neha and Lorenzo need to decide which one of them will take time off from work to complete the rather urgent task of digging postholes for their new fence. Neha is pretty good with a post auger; she can dig the holes in 30 minutes. Lorenzo is somewhat slow; it takes him 5 hours to dig the holes. Neha earns $110 per hour as a personal trainer, while Lorenzo earns $25 per hour as a clerk. Keeping in mind that either Neha or Lorenzo must take time off from work to dig the holes, who has the lower opportunity cost of completing the task? a) Neha and Lorenzo face identical opportunity costs b)Neha C)Lorenzo
- A child is given $4.80 of pocket money to be spent on either hard candies or chocolates. Chocolates cost 40 cents and hard candies $1.20 each. The marginal utilities derived from each product are as shown in the following table. Number of Items MU of Chocolates MU of Hard Candies 1 2 3 4 5 6 7 8 60 50 40 30 20 10 5 150 140 120 100 80 70 50 20 Which combination would give the child the maximum utility out of spending $4.80? 6 chocolates and 2 hard candies 8 chocolates and 0 hard candies 3 chocolates and 3 hard candies 0 chocolates and 4 hard candiesJulia and Ralph need to decide which one of them will take time off from work to complete the rather urgent task of pruning their trees. Julia is pretty good with a pole saw; she can prune the trees in 1 hour. Ralph is somewhat slow; it takes him 6 hours to prune the trees. Julia earns $120 per hour as a business consultant, while Ralph earns $15 per hour as a lifeguard.Keeping in mind that either Julia or Ralph must take time off from work to prune the trees, who has the lowest opportunity cost of completing the task?ayesha derives utility from travelling and outdoor dinning o weekends as given utility function U(t,d)=TD.the price of a day spent travelling is $160{Pt=160} and price of dining outdoor $200{Pd=200}.ayesha annual budget for this is $8000. find ayesha's utility maximizing choice of days travelling and dining outside. and alsoo find uutility level from consuming that bundles .show findings graphically