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 Form 4 Mathematics Linear Programming Questions and Answers

A carpenter takes 4 hours to make a stool and 6 hours to make a chair. It takes the carpenter and at least 144 hours to make x stools and y chairs. The labour cost of making a stool is Ksh 100 and that of a chair is Ksh 200. The total labour cost should not exceed Ksh 4 800. The carpenter must make atleast 16 stools and more than 10 chairs.
(a) Write down inequalities to represent the above information.
(b) Draw the inequalities in (a) above on the grid provided.

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