The table below shows part of the aggregate demand schedule for smart phones in the country of Afluentia: Quantity demanded Price P $900 10,000 $700 14,000 i. Plot the demand curve for smart phones in Afluentia. Assume demand is linear. Calculate the price elasticity of demand when the price increases from $700 to $900 using the midpoint method. Make your calculations explicit. i. All else being the same, what is Afluentia's total expenditure on smart phones when the price is $700? And when the price is $900? All else being the same, should Afluentia's suppliers charge $700 or $900 for a smart phone? Why? Explain briefly; show graphically and make your calculations explicit. i. Now suppose younger people start also buying smart phones in Afluentia. This means 1,000 more smart phones are bought at any given price. As price increases from $700 to $900, is the price elasticity of aggregate demand now greater than, less than, or the same as it was in part (i)? Why? Explain briefly. Make any calculations explicit.

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The table below shows part of the aggregate demand schedule for smartphones in the country of Alfuential:

| Price \( P \) | Quantity demanded \( Q^D \) |
|--------------|--------------------------|
| $900         | 10,000                   |
| $700         | 14,000                   |

i. **Demand Curve Plot and Elasticity Calculation:**
   - **Demand Curve:** Plot a linear demand curve using the given data points: ($900, 10,000) and ($700, 14,000).
   - **Price Elasticity of Demand:** Use the midpoint method to calculate the elasticity as price increases from $700 to $900. 
     \[ 
     \text{Elasticity} = \frac{(Q2 - Q1) / ((Q2 + Q1)/2)}{(P2 - P1) / ((P2 + P1)/2)} 
     \]
     Where \( Q2 = 10,000 \), \( Q1 = 14,000 \), \( P2 = 900 \), and \( P1 = 700 \).

ii. **Total Expenditure and Optimal Pricing:**
   - **Total Expenditure:** Calculate total expenditure for both price points.
     - At $700: \( 700 \times 14,000 \)
     - At $900: \( 900 \times 10,000 \)
   - **Price Decision:** Should suppliers charge $700 or $900? Analyze total revenue implications graphically and numerically.

iii. **Impact of Increased Demand from Younger People:**
   - **Additional Demand:** Assume 1,000 more smartphones are demanded at each price point due to younger buyers.
   - **New Elasticity:** Recalculate the elasticity from $700 to $900 with the updated quantities and analyze how it compares to part (i).

iv. **Long-Run Market Consideration:**
   - **Long-Run Demand Increase:** Assume a 10% increase in quantity demanded by all buyers. Recalculate elasticity with this adjustment.
   - **Long-Run Elasticity Analysis:** Compare long-run elasticity to previous calculations in parts (i) and (iii). Justify using numerical evidence.

v. **Long-Run Pricing Decision:**
   - **Optimal Long-Run Price:** Based on calculated elasticities and total expenditures, determine if suppliers should charge $700 or $900 in the long run. Provide a
Transcribed Image Text:The table below shows part of the aggregate demand schedule for smartphones in the country of Alfuential: | Price \( P \) | Quantity demanded \( Q^D \) | |--------------|--------------------------| | $900 | 10,000 | | $700 | 14,000 | i. **Demand Curve Plot and Elasticity Calculation:** - **Demand Curve:** Plot a linear demand curve using the given data points: ($900, 10,000) and ($700, 14,000). - **Price Elasticity of Demand:** Use the midpoint method to calculate the elasticity as price increases from $700 to $900. \[ \text{Elasticity} = \frac{(Q2 - Q1) / ((Q2 + Q1)/2)}{(P2 - P1) / ((P2 + P1)/2)} \] Where \( Q2 = 10,000 \), \( Q1 = 14,000 \), \( P2 = 900 \), and \( P1 = 700 \). ii. **Total Expenditure and Optimal Pricing:** - **Total Expenditure:** Calculate total expenditure for both price points. - At $700: \( 700 \times 14,000 \) - At $900: \( 900 \times 10,000 \) - **Price Decision:** Should suppliers charge $700 or $900? Analyze total revenue implications graphically and numerically. iii. **Impact of Increased Demand from Younger People:** - **Additional Demand:** Assume 1,000 more smartphones are demanded at each price point due to younger buyers. - **New Elasticity:** Recalculate the elasticity from $700 to $900 with the updated quantities and analyze how it compares to part (i). iv. **Long-Run Market Consideration:** - **Long-Run Demand Increase:** Assume a 10% increase in quantity demanded by all buyers. Recalculate elasticity with this adjustment. - **Long-Run Elasticity Analysis:** Compare long-run elasticity to previous calculations in parts (i) and (iii). Justify using numerical evidence. v. **Long-Run Pricing Decision:** - **Optimal Long-Run Price:** Based on calculated elasticities and total expenditures, determine if suppliers should charge $700 or $900 in the long run. Provide a
e) Suppose GK is one of the firms in this industry. In the short run, GK treats the rent of its building as a fixed cost and labor as a variable cost. If rent for the building falls, explain briefly how this will affect GK’s costs in the short run, specifically: the average variable cost curve, the average total cost curve, and the marginal cost curve.
Transcribed Image Text:e) Suppose GK is one of the firms in this industry. In the short run, GK treats the rent of its building as a fixed cost and labor as a variable cost. If rent for the building falls, explain briefly how this will affect GK’s costs in the short run, specifically: the average variable cost curve, the average total cost curve, and the marginal cost curve.
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