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A manufacturer of an external hard disc provided the information that when the price per external...

A manufacturer of an external hard disc provided the information that when the price per external hard disk is RM89, then 1 million hard disc will sell. When the price of each hard disc is RM79, then 3 million hard disc will sell. The cost of producing and selling ? million hard disc is ?(?) = 19? + 156.25.

a) Find a linear demand function where ? is the number of millions of hard discs sold and ? is the price of each hard disc in RM.

b) What is the company’s revenue function for this hard disc?

c) What is the company’s profit function?

d) How many hard discs must be produced and sold so that the company will have a maximum profit?

e) What is the price of hard disc when the company is maximizing their profit? (1 mark)

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