Answer to Question #123157 in Math for Meryclare

Question

Prices to a concert cost N$200 for an adult and N$150 for a child, the concert venue can
accommodate at most 240 people. The organizers are giving a N$20 discount to every adult
and N$10 discount for every child but do not want the total discounted amount to exceed
N$3200.
Draw a graph and use it to answer the following questions:
i. How many tickets altogether should the organisers sell in order to maximise their sales
amount?
ii. How many tickets of each type (adult and child) should they sell to get a maximum
sales amount?
iii. What is the maximum sales amount the organisers can make?
iv. If the profit is calculated as follows: profit = total sales – total discount amount. How
much profit will the organisers make from the maximum sales?

Answer 1

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