Suppose that in a particular month the consultant’s data usage is U, in GB. Let PFS be the amount, in $, she will have to pay for this data usage under the old plan and PSS be the amount, in $, she will have to pay for this data usage under the new plan. For which values of U will she pay more under the old plan than under the new plan, i.e., for which values of U the difference PSS – PFS is negative?

This question relates to the Data Plan Example covered in Sessions 1 and 2. The “old plan” refers to the “Family Share” plan, and the “new plan” refers to the “Superior Share” plan. You can answer this question without using Excel. You should involve Excel only if you cannot answer this questions otherwise.

Suppose that in a particular month the consultant’s data usage is U, in GB. Let P_FS be the amount, in $, she will have to pay for this data usage under the old plan and P_SS be the amount, in $, she will have to pay for this data usage under the new plan. For which values of U will she pay more under the old plan than under the new plan, i.e., for which values of U the difference P_SS – P_FS is negative?