## Question

###### A tirm produces two types of sugar; A and B at a constant average cost ofRM 2 and RM 3 per kilogram: respectively. The quantities 4A and 9B (in kilograms) of A and B that can be sold each week are given by the joint-demand functions QA 400(P8 Pa and QB 400(9 + Pa 2PB) Pa and Pg are the selling prices in dollars per kilogram of A and B respectivelvOhDetermine the prices of A and B at which the firm can maximize profit: 6 marks)

A tirm produces two types of sugar; A and B at a constant average cost ofRM 2 and RM 3 per kilogram: respectively. The quantities 4A and 9B (in kilograms) of A and B that can be sold each week are given by the joint-demand functions QA 400(P8 Pa and QB 400(9 + Pa 2PB) Pa and Pg are the selling prices in dollars per kilogram of A and B respectivelv Oh Determine the prices of A and B at which the firm can maximize profit: 6 marks)

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