Red yarn costs $4 per yard. blue yarn costs $4 per yard. A) Graph the budget constraint and the indifference curves that can be reached. How many yards of each type of yarn will he purchase at these prices with his gift card?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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**Budgeting for Yarn Purchases with a Gift Card**

Suppose you have a $20 gift card and want to buy blue and red yarn. The utility function from yards of blue (B) and red (R) yarn can be expressed as follows: U(B, R) = 3B + R.

**Cost of Yarn:**
- Red yarn costs $4 per yard.
- Blue yarn costs $4 per yard.

**Task:**
A) Graph the budget constraint and the indifference curves that can be reached. How many yards of each type of yarn will be purchased at these prices with the gift card?

**Instructions:**
1. **Graph the Budget Constraint:**
   - Total budget: $20.
   - Cost of blue yarn (B) = $4B.
   - Cost of red yarn (R) = $4R.
   - Budget constraint equation: 4B + 4R = 20.

2. **Plot Indifference Curves:**
   - Identify combinations of B and R that provide equal utility.

3. **Determine Optimal Purchase:**
   - Find the combination of B and R that maximizes utility given the budget constraint.
Transcribed Image Text:**Budgeting for Yarn Purchases with a Gift Card** Suppose you have a $20 gift card and want to buy blue and red yarn. The utility function from yards of blue (B) and red (R) yarn can be expressed as follows: U(B, R) = 3B + R. **Cost of Yarn:** - Red yarn costs $4 per yard. - Blue yarn costs $4 per yard. **Task:** A) Graph the budget constraint and the indifference curves that can be reached. How many yards of each type of yarn will be purchased at these prices with the gift card? **Instructions:** 1. **Graph the Budget Constraint:** - Total budget: $20. - Cost of blue yarn (B) = $4B. - Cost of red yarn (R) = $4R. - Budget constraint equation: 4B + 4R = 20. 2. **Plot Indifference Curves:** - Identify combinations of B and R that provide equal utility. 3. **Determine Optimal Purchase:** - Find the combination of B and R that maximizes utility given the budget constraint.
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