The demand curve is given by Q D = 500 - 5P X + 0.51 + 10P

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The demand curve is given by QD = 500 - 5PX + 0.51 + 10PY - 2PZ where

QD-quantity demanded of good X Px = price of good X

I = consumer income, in thousands Py = price of good Y Pz = price of good Z

a. Based on the demand curve above, is X a normal or an inferior good?

b. Based on the demand curve above, what is the relationship between good X and good F?

c. Based on the demand curve above, what is the relationship between good X and good Z?

d. What is the equation of the demand curve if consumer incomes are $30,000, the price of good F is $10, and the price of good Z is $20? 

e. Graph the demand curve that you found in (d), showing intercepts and slope. 

f. If the price of good X is $15, what is the quantity demanded? Show this point on your demand curve.

g. Now suppose the price of good Y rises to $15 Graph the new demand curve.

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