Draw a Graph with Food on the Horizontal Axis and Shelter

Draw a graph with food on the horizontal axis and shelter on the vertical axis.
A. Now sketch in a budget line such that the relative price of food to shelter is 2, the absolute price of shelter is 10, and the nominal income level is $100. Label the budget line A.
B. Next, the nominal income stays the same, the absolute price of shelter is cut in half, and the absolute price of food is unchanged. Sketch in the new budget line and label it B.
C. Next, the absolute prices are where they were when the problem started and the nominal income increases to 150. Draw a new budget line for this data and label it C.
D. Next, the nominal income is again $100, the relative prices are as they were at the beginning and the absolute prices are cut in half. Draw a new budget line on the graph and label it D.
E. Next, the absolute price of shelter falls to $5 and the absolute price of food and the income stay where it was at the beginning. The relative price of food to shelter also stays at 2. Explain why this is a logical contradiction.