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 Form 4 Mathematics Linear Programming Questions and Answers

A transporter has two types of trucks to transport sugar.types A truck carries 2,000 bags while type B carries 3,000 bags per trip.The transporter has to transport 120,000 bags. He has to make not more than 50 trips.Type B trucks are make at most twice the number of trips made type A (B to be at most twice A).
(a)By taking x to be the number of trips made by type A trucks and y to be the number of trips made by type B trucks, write down the inequalities
representing this information.
b).If the transporter make a profit of sh.1,000 per trip for the type A truck and sh.2000 per trip for the B truck use graphical method to find the number of trips he should make with each type of truck in order to maximize his profit.

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