Small Motors for Garden Equipment Are Produced at Four Manufacturing $~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { To Plant }$

Small motors for garden equipment are produced at four manufacturing facilities and need to be shipped to three plants that produce different garden items (lawn mowers, rototillers, leaf blowers). The company wants to minimize the cost of transporting items between the facilities, taking into account the demand at the three different plants, and the supply at each manufacturing site. The table below shows the cost to ship one unit between each manufacturing facility and each plant, as well as the demand at each plant and the supply at each manufacturing facility.

$~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { To Plant }$
$\begin{array}{crrrrr}\text{From Manufacturing Facility} &&A & B & C & Supply\\\hline 1 & & 4 & 4.5 & 3.2 & 200 \\2 & & 3.5 & 3 & 4 & 200 \\3 & & 4 & 3.5 & 4.25 & 300 \\ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\text { Demand } && 250 & 150 & 200 &\end{array}$


Write the formulation for this problem.