A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a...

      

A carpenter makes two types of chairs for Keroka Secondary School. To make type A chair it requires 6 man – hours where as a type B requires 4 man – hours. The cost of material for type A is sh 120 and that for type B is sh100. The profit on type A is sh 80 and profit on type B is sh 60. The carpenter has to abide by the following conditions
(i) A contract to supply 15 of type A and 10 of type B per week has to be fulfilled
(ii) Only 300 man – hours are available in each week.
(iii) Total weekly cost of material for all chairs should not exceed sh 6000
If type A and type B chairs were x and y per week respectively.
(a) Write down the inequalities satisfying these conditions
(b) Represent this information on a grid and show the region by shading out the unwanted.
(c) What values of x and y will give maximum profit. Determine this maximum profit.

  

Answers

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sharon kalunda answered the question on August 23, 2019 at 11:00

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