The Engel Curve Assignment Help | The Engel Curve Homework Help

The Engel Curve

we will instead show how to derive the relation between income and the quantity demanded. The resulting curve is called the Engel curve.

Look at Figure 4.2. Just as in the previous case, we start with the individual’s maximization problem where she must choose quantities of good 1 and good 2. (Again, think of good 2 as “all other goods.”) However, instead of varying the price, we now vary the income m. This means that the budget line will shift outwards for higher incomes and inwards for lower incomes. We assume that preferences and prices are unchanged. For the increasingly higher incomes m1, m2, and m3, the budget lines become BL1, BL2, and BL3.

In the same way as before, we find the utility maximization points for each budget line: points A, B, and C. If we would do that for all possible incomes, we would get the so-called income-consumption curve. That curve shows the optimal consumption of good 1 and good 2 at different incomes, given preferences and prices.

Similarly to before, we indicate the quantities that correspond to points A, B, and C, i.e. q11, q12, and q13 in the diagram below. Then we indicate the incomes m1, m2, and m3 on the Y-axis, and the points where the incomes intersect the corresponding quantities: points D, E, and F. Thereafter, we draw a line through the points of intersection, as it would probably have looked if we had performed the same procedure for the points in between. The resulting curve is the so-called Engel curve, and it shows how the optimal consumption of good 1 varies with the income, given preferences and prices.

To get more help in Engel Curve click the button below to submit your homework assignment