Iate the iollowing nas an The consumer prefers good X three as much as good Y and is willing to trade good X and good Y at a constant rate. 1. Write the consumer's utility function that represents their preferences: U(X,Y) = U=3X+Y 2. Using the information available, calculate the consumer's optimal consumption bundle. o X*= units Y*= units
Iate the iollowing nas an The consumer prefers good X three as much as good Y and is willing to trade good X and good Y at a constant rate. 1. Write the consumer's utility function that represents their preferences: U(X,Y) = U=3X+Y 2. Using the information available, calculate the consumer's optimal consumption bundle. o X*= units Y*= units
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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looking for help solving this perfect substitutes problem. thanks!
![A consumer has an income of $75 and they face the following prices: Px=$5 and P
Py=$3.
The consumer prefers good X three as much as good Y and is willing to trade good X and good Y at a constant rate.
1. Write the consumer's utility function that represents their preferences: U(X,Y) = U=3X+Y
2. Using the information available, calculate the consumer's optimal consumption bundle.
o X*=
units
Y*=
units
o The consumer's total utility is U(X,Y) =
3. If the prices of the goods decrease, and now Px
= 3.50 and Py=$1.00, calculate the consumer's optimal consumption bundle.
o X* =
units Y* =
units
o The consumer's total utility is U(X,Y) =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc316c373-45b0-49f7-b903-7c4ab6c319ca%2F90ac058a-dd6b-44f4-ad44-d3a8858418ee%2Fn1ihpm_processed.png&w=3840&q=75)
Transcribed Image Text:A consumer has an income of $75 and they face the following prices: Px=$5 and P
Py=$3.
The consumer prefers good X three as much as good Y and is willing to trade good X and good Y at a constant rate.
1. Write the consumer's utility function that represents their preferences: U(X,Y) = U=3X+Y
2. Using the information available, calculate the consumer's optimal consumption bundle.
o X*=
units
Y*=
units
o The consumer's total utility is U(X,Y) =
3. If the prices of the goods decrease, and now Px
= 3.50 and Py=$1.00, calculate the consumer's optimal consumption bundle.
o X* =
units Y* =
units
o The consumer's total utility is U(X,Y) =
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