(Answered) A marketing company provides the following formulas to the

Management Studies

A Marketing company provides the following formulas to the owner of an amusement park to help him make decisions about the park. -The number , N, of people who attend the park is a function of price, p, in dollars: N(p)=-(p+5)(p-17) assuming the minimum ticket price is $12. - The revenue, R, is R(p)=N(p)multiplied by p - The cost,C, of running the amusement park can be modelled by the function C(P)=75+12N(p)

a) Write the combined function y=R(p)-C(p) and explain what it represents

b) Determine the interval(s) for p for which R(p)>C(p)

c)Identify the optimum ticket price for the amusement park and determine the maximum profit per ticket. *for question b) and c) technology can be used to support the answer.

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