Tropicsun is a leading grower and distributor of fresh citrus products with three large citrus groves scattered around central Florida in the cities of Mt$.$ Dora, Eustis, and Clermont. Tropicsun currently has $275,00$ bushels of citrus at the grove in Mt$.$ Dora, $400,000$ bushels at the grove in ustis,ay$300,000$ at the grove in Clermont.Tropicsun has citrus processing plants in Ocala, Orlando,and Leesburg with processing capacities to handle $200,000,600,000,$ and $225,000$ bushels, respectively Tropicsun contracts with a local trucking company to transport its fruit from the groves to the processing plants. The trucking company charges a flat rate of $$8$ per mile regardless of how many bushels of fruit are transported. The following table summarizes the distances $($in miles$)$ between each grove and processing plant:

Distances $($in Miles$)$ Between groves and Plants

Processing Plant

Grove Ocala Orlando Leesburg

Mt$.$ Dora $215040$

Eustis $353020$

Clermont $552025$

order to minimize the total transportation cost. Formulate an ILP model for this problem and solve the model. $(10\%)$