! solve d, e , f...for a like 3. Demeter has 100 acres of land on which she can plant wheat or rice. The following table showsthe income per acre that each crop will produce, both for a wet growing season and a dry growingseason.WetDry700Wheat200Rice700200The probability of a wet growing season is ; and the probability of a dry growing season is .Demeter's utility function over income is U(W) = In W.3WAiP... Àas....t income bundle if she plants ontWiear If she plants onlyrice? If she planis SUacres of WICA aLacres cfrie ALeontingent-incomebundle is (W JWandrafroates "dru»b.otn find an algebraiC Pesion or Demeter’sbudget constraintUse uvcontungon onme bilndlesWinat Is DCmeter s Cxpectcd utifty Tunction? What is mer MRS Tuncion?d. What two conditions hold at Demeter's expected utility-maximizing contingent incomeс.bundle?Solve the two conditions in (d) to find Demeter's expected utility-maximizingcontingent income bundle.f. To achieve the bundle in (e), how many acres of each crop does Demeter plant?е.

The producer has 100 acres of land. The income for each type of good is given as…

3. Demeter has 100 acres of land on which she can plant wheat or rice. The following table shows the income per acre that each crop will produce, both for a wet growing season and a dry growing season. Wheat Rice Wet 200 700 D. Dry 700 200 2 3 3* The probability of a wet growing season is and the probability of a dry growing season is Demeter's utility function over income is U(W) = In W. et income bundle if she plants only wheat If she plants only contingent income rice? If she plants su acres or wilcat and € 50 acres of viel bundle is (W... WAZ WAS WHOIC the wsubscript indieates "wet" and ... indicates “du,99 \ Use van MAR over contingen insame bundles to find an algebraic expression for Demeter's budget constraint C. "What is Demeter's expected utility Tunction? What is ner MRS function? d. What two conditions hold at Demeter's expected utility-maximizing contingent income bundle? e. Solve the two conditions in (d) to find Demeter's expected utility-maximizing contingent income bundle. f. To achieve the bundle in (e), how many acres of each crop does Demeter plant?

3. Demeter has 100 acres of land on which she can plant wheat or rice. The following table shows the income per acre that each crop will produce, both for a wet growing season and a dry growing season. Wheat Rice Wet 200 700 D. Dry 700 200 2 3 3* The probability of a wet growing season is and the probability of a dry growing season is Demeter's utility function over income is U(W) = In W. et income bundle if she plants only wheat If she plants only contingent income rice? If she plants su acres or wilcat and € 50 acres of viel bundle is (W... WAZ WAS WHOIC the wsubscript indieates "wet" and ... indicates “du,99 \ Use van MAR over contingen insame bundles to find an algebraic expression for Demeter's budget constraint C. "What is Demeter's expected utility Tunction? What is ner MRS function? d. What two conditions hold at Demeter's expected utility-maximizing contingent income bundle? e. Solve the two conditions in (d) to find Demeter's expected utility-maximizing contingent income bundle. f. To achieve the bundle in (e), how many acres of each crop does Demeter plant?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

! solve d, e , f...for a like

3. Demeter has 100 acres of land on which she can plant wheat or rice. The following table shows
the income per acre that each crop will produce, both for a wet growing season and a dry growing
season.
Wet
Dry
700
Wheat
200
Rice
700
200
The probability of a wet growing season is ; and the probability of a dry growing season is .
Demeter's utility function over income is U(W) = In W.
3
WAiP... Àas....t income bundle if she plants ont
Wiear If she plants only
rice? If she planis SUacres of WICA a
Lacres cfrie AL
eontingent-income
bundle is (W JW
and
rafroates "dru»
b.
otn find an algebraiC Pesion or Demeter’sbudget constraint
Use u
vcontungon onme bilndles
Winat Is DCmeter s Cxpectcd utifty Tunction? What is mer MRS Tuncion?
d. What two conditions hold at Demeter's expected utility-maximizing contingent income
с.
bundle?
Solve the two conditions in (d) to find Demeter's expected utility-maximizing
contingent income bundle.
f. To achieve the bundle in (e), how many acres of each crop does Demeter plant?
е.

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