Chapter 7.5, Problem 6E

(a)

To determine

To calculate: The most profitable mixture of groups Liz should contact for raise the most money in a month if each group requires 2 hours of letter writing and 1 hour of follow-up but the neighborhood group need 2 hours for letter writing and 3 hours for follow-up. Liz can raise $1000 from each group and $2000 from each neighborhood organization. Liz has a maximum 16 hours of letter –-writing time and maximum of 12 hours follow-up time available per month.

(b)

To determine

To calculate: The value of slack variable from the linear programming table that is provided below.

$\begin{array}{l}\begin{array}{cccc}{x}_1& x_2& s_1& s_2\end{array}\\ \left[\begin{array}{lllll}1& 0& \frac{3}{4}& -\frac{1}{2}& 6\\ 0& 1& -\frac{1}{4}& \frac{1}{2}& 2\\ 0& 0& 250& 500& 10,000\end{array}\right]\end{array}$