The demand for good x is given as Qd:

Qd = 1000 - 5Px - 0.5I - 10Py + 2Pz - 3Pc

Where, Qd = quantity demanded of good x (in thousand units)

Px = price of good x

I = consumer incomes (in thousand)

Py = price of good y

Pz = price of good z

Pc = price of good c

a. If consumer incomes are 30 (in thousand), price of good y is 15, price of good z is 25, and price of good c is 35, what is the demand curve for good x?

b. What is the quantity demanded of good x by consumers if the price of good x is 15?

c. Suppose consumer incomes decrease to 25 (in thousand). What is the new demand curve?

d. What is the new quantity demanded of good x, if the price of good x remains the same at

e. What is the effect of a decrease in consumer incomes on the demand for good x? Is good x a normal, or an inferior good? Why?