Q3: The following table shows the price of good J, the price of good K (which is related in some way to good J), average income, QD of good J and QD of good K for 5 periods. Use the information in the table to answer the following questions. Do not round your answers too early or your final result will be less accurate.
Period |
Price of Good J |
Price of Good K |
Average Income |
QD of Good J |
QD of Good K |
1 |
$16 |
$5 |
$36,000 |
320 units |
350 units |
2 |
$18 |
$8 |
$30,000 |
280 units |
340 units |
3 |
$20 |
$6 |
$30,000 |
250 units |
400 units |
4 |
$20 |
$6 |
$36,000 |
300 units |
360 units |
5 |
$20 |
$8 |
$30,000 |
270 units |
380 units |
e) Is good J an inferior good or a normal good? If good J is a normal good, is it a necessity or a luxury?
f) Is good K an inferior good or a normal good? If good K is a normal good, is it a necessity or a luxury?
g) Which two periods must you compare to calculate the cross-price elasticity of demand for good J with respect to the price of good K AND what does this cross-price elasticity of demand equal (to two decimal places)?
h) Which two periods must you compare to calculate the cross (price) elasticity of demand for good K with respect to the price of good J AND what does this cross elasticity of demand equal (to two decimal places)?
i) Are goods J and K complements in consumption, substitutes in consumption, complements in production or substitutes in production?
e) Income elasticity of demand for J =
So, it is a normal good as income elasticity is positive. So, it is
a necessity as income income elatsicity is 1.
f) Income elasticity of demand for K =
So, it is an inferior good as income elasticity is negative.
g) Period 3 and 5 must be compared because income and price of J
is constant and only price of good K is changing.
Cross price elasticity of demand =
h) Period 2 and 5 must be compared because income and price of K
is constant and only price of good J is changing.
Cross price elasticity of demand =
i) Goods J and K are substitutes in consumption as cross price elasticity is positive.
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