5. An automobile e manufacturer is considering mechanical design changes in one of its selling cars to reduce o the car to r weirht saved by each design cans table change are summarized in the following table the weight of the car by at least 400 pounds to improve its Design engineers have identifie 10 changes that coul be made in it ighter (eg using composite body pieces rather than metal). The saved by each design change and the estimated costs of implementing each Design Change 9 10 2 Weight Saved (Obs)50 7 25 150 6095 200 40 Cost (in $1,00) $150 s350 $50 $45090 535 s650 s75 S110 S30 Changes 4 and 7 represent alternate ways of modifying the engine block and, there- re, only one of these options could be selected. The company wants to determine which changes to make in order to reduce the total weight of the car by at least 400 pounds in the least costly manner