Bowden Transport provides dispatching services for independent truckers who specialize in transporting cars purchased online from the seller to the buyer. At present, there are four cars needing to be picked up and delivered and five trucks in the vicinity of these cars. The following table summarizes the marginal cost of each truck picking up and delivering each of the cars along with the current number of available car carrying spots available on each truck.

Bowden charges the car buyer a flat fee of $600 to pick up and deliver each car and keeps 50% of the profit earned.
a. Formulate an ILP model for this problem.
b. What is the optimal solution?

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Marginal Cost to Pick Up and Deliver Car 1 $276 $179 $150 $ 97 $305 Car 3 $251 $298 5344 Car 4 $364 $190 $492 $185 $165 Capac Truck 1 Truck 2 Truck 3 Truck 4 Truck 5 $497 $375 $475 $163 $150 cars car car car