The Organic Dog Food Company has two manufacturing sites: Plant $1($S$1)$ produces ODF Puppy Chow, and Plant $2($S$2)$ produces ODF Adult Dog Chow. The company sells its dog food in two markets$-$ M$1$ and M$2,$ and each market is currently serviced by direct truck shipments from each plant. Company CEO Nate Barksalot thinks the company can reduce its transportation costs by sending all inventory from the plants to a new distribution center from which each of the two markets will be serviced. Use the Grid Technique and the data in the table below to calculate the ton$-$mile center of mass.

ODFC.PNG What is the vertical grid coordinate of the ton$-$mile center of mass $($to the nearest whole number$)?$

Group of answer choices

$40$

$42$

$44$

$46$