Assume the following:

Consider Jenny's demand function for apples:  Qa = 10 - Pa + 2Pp + Y Where,

Qa = quantity of apples Jenny demands

Pa = price of apples that Jenny faces;

Pp = price of pears

Y = Jenny's income

Consider initially that Pp= $1 and Y = $10

Use the information above to answer the following questions:

a) Draw Jenny's demand function for apples

b) Show how this demand function for apples changes if Pp increase to $2 but Y falls to $8 at the same time.  Draw the new demand curve and show workings

c) Using the initial income (Y) of $10 and a price of apples (Pa) of $1, and applying the change in price of pear (Pp) from $1 to $2 - are apples and pears substitutes or complements for Jenny (use the midpoint formula)? Show workings

d) Using the initial price of pears (Pp) of $1 and a price of apples (Pa) of $1, and applying the change in income from $10 to $8 - Is apple a normal or an inferior good for Jenny (use the midpoint formula)? Show workings