The President of a Consulting Firm Wants to Minimize the Total

The president of a consulting firm wants to minimize the total number of hours it will take to complete four projects for a new client. Accordingly, she has estimated the time it should take for each of her top consultants-Charlie, Betty, Johnny, and Rick-to complete any of the four projects, as follows: $$\begin{array} { c } \quad \quad \quad \quad \quad { \text { Project (Hours) } } \\\begin{array} { l c c c c } \text { Consultant } & \text { A } & \text { B } & \text { C } & \text { D } \\\hline \text { Charlie } & 13 & 16 & 11 & 13 \\\text { Betty } & 11 & 15 & 14 & 18 \\\text { Johnny } & 15 & 22 & 12 & 15 \\\text { Rick } & 17 & 17 & 12 & 22\end{array}\end{array}$$ What is the optimal assignment of consultants to projects?

A) Charlie to A; Betty to B; Johnny to C; Rick to D
B) Charlie to D; Betty to C; Johnny to B; Rick to A
C) Charlie to C; Betty to A; Johnny to D; Rick to B
D) Charlie to D; Betty to B; Johnny to C; Rick to A
E) Charlie to D; Betty to A; Johnny to C; Rick to B