Q1: The following table shows average income of buyers, the price of good G, the price of good H, the quantity demanded (QD) of good G and the quantity demanded (QD) of good H for 5 periods. Use the information in the table to answer the following questions. Do not round your answers early because your final results will be less accurate.
Period |
Average Income |
Price of Good G |
Price of Good H |
QD of Good G |
QD of Good H |
1 |
$40,000 |
$10 |
$12 |
4960 units |
2360 units |
2 |
$40,000 |
$8 |
$9 |
4820 units |
2560 units |
3 |
$48,000 |
$8 |
$12 |
5860 units |
1800 units |
4 |
$48,000 |
$8 |
$9 |
5620 units |
2160 units |
5 |
$48,000 |
$10 |
$9 |
5520 units |
2320 units |
a) What does the cross-price elasticity of demand for good G equal (to 3 decimal places)? Show clearly how you arrived at your answer. If Fulton has to figure out how you arrived at your answer, marks will be deducted. 3 marks.
b) What does the income elasticity of demand for good H equal (to 3 decimal places)? Show clearly how you arrived at your answer. If Fulton has to figure out how you arrived at your answer, marks will be deducted. 3 marks.
a) Cross price elasticity of good G = %change in quantity demanded of good G / %change in price of H
Period | Qd of good G | Price of good H | %change in quantity demanded of good G | %change in price of H | Cross price elasticity of demand |
1 | 4960 | 12 | - | - | - |
2 | 4820 | 9 | -2.8% | -25.0% | 0.113 |
3 | 5860 | 12 | 21.6% | 33.3% | 0.647 |
4 | 5620 | 9 | -4.1% | -25.0% | 0.164 |
5 | 5520 | 9 | -1.8% | 0.0% | Undefined |
b) Income elasticity of demand for good H = %change in quantity demanded of good H / %change in income
Period | Qd of good H | Average Income | %change in quantity demanded of good H | %change average Income | Income elasticity of demand of good H |
1 | 2360 | 40000 | - | - | - |
2 | 2560 | 40000 | 8.5% | 0.0% | Undefined |
3 | 1800 | 48000 | -29.7% | 20.0% | -1.484 |
4 | 2160 | 48000 | 20.0% | 0.0% | Undefined |
5 | 2320 | 48000 | 7.4% | 0.0% | Undefined |
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