Chapter 3, Problem 12RP

Explanation of Solution

LP to minimize the cost:

• Assume the following,
  • Let “DC” be the percent of daytime calls.
  • Let “EC” be the percent of evening calls.
• The objective function to minimize the cost of completing the survey is as follows,

$\text{Minimize z=2DC+5EC}$

• The above function subject to the following constraints,
  • “$\text{0}\text{.30DC+0}\text{.30EC}\ge \text{150}$” denotes the constraints on wives.
  • “$\text{0}\text{.10DC+0}\text{.30EC}\ge \text{120}$” denotes the constraints on husbands.
  • “$\text{0}$