A consumer purchases two goods, food and clothing. The utility function is U(x, y) = √xy, where x denotes the amount of food consumes and y the amount of clothing. The marginal utilities are MUX = √y/(2√x) and MUy=√x/(2√y). The price of food is Px, the price of clothing is Py, and income is I. a) Show the equation for the demand curve for food is x = 1/(2Px). b) Is food a normal good? Draw D₁, the consumer's demand curve for food when the level of income is I = RM120. Draw D₂ the demand curve when I = RM200.
A consumer purchases two goods, food and clothing. The utility function is U(x, y) = √xy, where x denotes the amount of food consumes and y the amount of clothing. The marginal utilities are MUX = √y/(2√x) and MUy=√x/(2√y). The price of food is Px, the price of clothing is Py, and income is I. a) Show the equation for the demand curve for food is x = 1/(2Px). b) Is food a normal good? Draw D₁, the consumer's demand curve for food when the level of income is I = RM120. Draw D₂ the demand curve when I = RM200.
Chapter1: Making Economics Decisions
Section: Chapter Questions
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![Question 1
A consumer purchases two goods, food and clothing. The utility function is U(x, y) = √xy.
where x denotes the amount of food consumes and y the amount of clothing. The marginal
utilities are MUX = √y/(2√x) and MUX=√x/(2√y). The price of food is Px, the price of clothing
is Py, and income is I.
a)
Show the equation for the demand curve for food is x = 1/(2Px).
b)
Is food a normal good? Draw D₁, the consumer's demand curve for food when the level
of income is I = RM120. Draw D₂ the demand curve when I = RM200.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa823c105-e278-45c7-a545-c44e6a94d914%2Febd37f9b-718c-4abb-ab45-74f13f26d55a%2Fhq7v1az_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 1
A consumer purchases two goods, food and clothing. The utility function is U(x, y) = √xy.
where x denotes the amount of food consumes and y the amount of clothing. The marginal
utilities are MUX = √y/(2√x) and MUX=√x/(2√y). The price of food is Px, the price of clothing
is Py, and income is I.
a)
Show the equation for the demand curve for food is x = 1/(2Px).
b)
Is food a normal good? Draw D₁, the consumer's demand curve for food when the level
of income is I = RM120. Draw D₂ the demand curve when I = RM200.
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