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- Take Jeremys total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremys utility.Draw a well-labeled graph that shows the substitution effect (SE), incomeeffect (IE), and total effect of good 1 and is consistent with the following: The consumerreceives $m per month and has well-behaved preferences with strictly convex indifferencecurves; the price of good 1 increases; the original utility-maximizing point is labeled at A; thenew utility-maximizing point is labeled C; the compensated budget’s utility maximizing point islabeled B; good 1 is inferior but not Giffen. Make sure to clearly state and graphically showwhether the SE, IE, and total effect of good 1 are each positive or negative. Also state if the SEor IE is higher in magnitude if possible. Good 1 needs to be on the horizontal axis.Praxilla, 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…
- Take Jeremy’s total utility information in Exercise 6.1, and use the marginal utility approach to confirm the choice of phone minutes and round trips that maximize Jeremy’s utility. 6.1Jeremy is deeply in love with Jasmine. Jasmine lives where cell phone coverage is poor, so he can either callher on the land-line phone for five cents per minute or he can drive to see her, at a round-trip cost of $2 in gasolinemoney. He has a total of $10 per week to spend on staying in touch. To make his preferred choice, Jeremy uses ahandy utilimometer that measures his total utility from personal visits and from phone minutes. Using the values inTable 6.6, figure out the points on Jeremy’s consumption choice budget constraint (it may be helpful to do a sketch)and identify his utility-maximizing point.Every week Chris consumes 14 medium-sized pepperoni pizzas, which cost $10.00 each, and 22 galions of ice cream, which cost $15.00 each. Chris' marginal utility of pizza at that point is 2.75 and marginal utility of gallons of ice cream is 3.30. Comment on Chris choice (economically speaking, not nutritionally) and illustrate with an indifference map (Pizza on the y-axis, ice cream on the x-axis).Farah has $100 to spend each month on bread and chicken. Suppose the price of bread is $4 a loaf and the price of chicken is $5 per pound. Draw her budget constraint and label it BC0. Put bread on the horizontal axis and chicken on the vertical axis. Be sure to identify the intercept values. Suppose Farah is a utility maximizer and she consumes 10 loaves of bread and 12 pounds of chicken. On the same graph you drew in part (a), draw an indifference curve to identify her optimal bundle. Label this bundle "E." Is her budget exhausted? Verify your answer. Now suppose Farah's income falls so that she can now devote only $80 to the two goods. Prices however remain unchanged. In the same diagram, graph her new budget constraint and label it BC1. Be sure to identify any new intercept values. Following the change in income, can Farah consume the same bundle "E"? Explain your answer. What must happen to her total utility following the decrease in her income?