Question

Suppose that the local daily demand for iced coffee drinks is given by the demand function: Q=300-25P, where P is the price of an iced coffee drink.

a. Construct this demand curve in black. Place the quantity of iced coffee drinks demanded on the horizontal axis and the price of an iced coffee drink on the vertical axis.
b. Suppose that iced coffee drinks are a normal good, and that consumers’ incomes fall. The demand for iced coffee drinks decreases by 50 units at every price. What is the new demand function (i.e., equation)?
c. Suppose that iced coffee drinks are a normal good, and that consumers’ incomes fall. The demand for iced coffee drinks decreases by 50 units at every price. Construct the new demand function in blue.

Answer 1

a. To construct the demand curve, we can first use the demand function provided, Q=300-25P. To plot this on a graph, we can plug in different values of P to find the corresponding values of Q. For example:

When P = 0, Q = 300-25(0) = 300

When P = 1, Q = 300-25(1) = 275

When P = 2, Q = 300-25(2) = 250

We can plot these points on a graph with Q on the horizontal axis and P on the vertical axis, and connect them to form the demand curve.

b. The new demand function would be Q = 250-25P.

c. To construct the new demand function in blue, we can start with the same process as before, using the new demand function, Q = 250-25P.

For example:

When P = 0, Q = 250-25(0) = 250

When P = 1, Q = 250-25(1) = 225

When P = 2, Q = 250-25(2) = 200

We can plot these points on the same graph as before, but this time use blue color to distinguish it from the previous demand function.