The Donna Mosier Clothing Group owns factories in three towns (W, Y, and Z), which distribute to three retail dress shops in three other cities (A, B, and C). The following table summarizes factory availabilities, projected store demands, and unit shipping costs: ki7 From To Factory W Factory Y

$3 Dress Shop A

Dress Shop B

Dress Shop C Factory availability Store demand 30 65 135 50 50 35

$6 $7

$5

$6 Factory Z

$3

$2

$4

$8 40

a) Complete the analysis, determining the optimal solution for shipping at the Mosier Clothing Group.

b) How do you know whether it is optimal or not?