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Carpenter makes two types of chairs for a school

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Reference no: EM131046835

A carpenter makes two types of chairs for a school. To make type A chairs it takes 6 man hours and 4 man hours for type B. The cost of material for type A is sh 120 and that of type B is sh100. The profit on type A is sh80 and that of type B is sh60. The carpenter has to abide to 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 a week

iii) total weekly cost of material for all chairs should not exceed sh 6000 if  type A and B chairs were x and y respectively

a) Write down the inequalities satisfying these conditions

b) What values of x and y will give maximum profit

Reference no: EM131046835

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