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 Form 4 Mathematics Linear Programming Questions and Answers

A manufacturer of jam has 720 kg of strawberry syrup and 800kg of mango syrup for making two types of jam, Grade A and B. Each type is made by mixing strawberry and mango syrup as follows: Grade A: 60% strawberry and 40% mango. Grade B: 30% strawberry and 70% mango. The jam is sold in 400 gram jars: The selling prices are as follows: Grade A: Sh.48 per jar. Grade B: Sh.30 per jar.
a).Form inequalities to represent the given information.
b).i).On the grid provided draw the inequalities. ii).From your graph, Determine the number of jars of each grade the manufacturer should produce to maximize his profit. iii).Calculate the total amount of money realized if all the jars are sold.

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