Town council decides to run a special summer childrens show to help promote tourism at the beach. They will set up a temporary stage and seating on the beach for the show. Tickets will be made available for both adults and children with the unusual situation of a childs ticket being more expensive than that of an adults

Child Adult

Ticket Price $12 $3

Expected Average Food and Beverage Purchase$4 $8

Expected Profit $10 $5

Maximum profit avaliable to Town council: $1875

Number of children: 75

Number of Adults: 225

A financial planner at Waihi Town Council has completed some additional calculations and believes that there may be an error with the expected profit. The financial planner thinks that the expected profit from the attendance of each child at the show should decrease from $10 to $7.50 and that the expected profit from the attendance of each adult should increase from $5 to $7.50. The financial planner sees no reason for the ticket prices or expected food and beverage purchases to change.

Task:

- Use the adjusted information to write a report which:

discusses the change to the maximum profit available to Town Council

discusses the change to the number of adults and childrens tickets needed to be sold to maximise the profit.