A cinema hall has a capacity of 150 seats

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A cinema hall has a capacity of 150 seats. The owner can o er students a discount on the price when they show their student
IDs. The demand for tickets from students is Ds = 220 - 40Ps;where Ps is the price of tickets for students after the discount.
The demand for tickets for non-students is Dn = 140 - 20Pn;where Pn is the price of tickets for non-students.
i. What is the maximum pro t the owner can make?
ii. What is the maximum pro t he could make if the demand
functions of students and non-students were interchanged?         

Reference no: EM13150670

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