MountainMole Foods has decided to use the perfect order measurement approach to track its

logistics performance. According to MountainMole, a perfect order is one that $(1)$ is delivered on

time, $(2)$ arrives in one complete shipment, $(3)$ arrives undamaged, $(4)$ is correctly billed.

MountainMole has the following performance figures for the past four years: $($Assume that there

is at most one error per order.$)$

Year

$2000200120022003$

Total Shipments $240,000321,000364,000386,000$

On$-$time Shipments $190,000265,000322,000332,000$

Complete Shipments $198,000275,000337,000354,000$

Undamaged Shipments $196,000268,000312,000355,000$

Correctly Billed Shipments $180,000270,000305,000326,000$

a$)$ Calculate performance for each of the four years. What is the overall trend in the

performance, if any? What factors explain the results? $(6$ points$)$

b$)$ If you were looking to improve MountainMole$$s logistics performance, what areas might

you concentrate on based on these results? $(2$ points$).$