Question 1 (35 marks) Kids Play Ground ("KPG") is an entertainment centre based in Windhoek. The entertainment centre operates for 30 days in a month. The management accountant of KPG has extracted the following information from the company's forecasts of the coming month: Costs The foxed costs for the coming month are estimated to be N$65000000 while the variable cost per person will be N$125. Pricing Customers opting for the by-booking option and the normal customers will not be permitted to exceed the numbers given above. All customers are expected to turn up and use the facility. Customers opting for the premium package are given preference to be on the front of the queue at the centre. The price for the package has been set at N\$1 850 to ensure profit maximization from the sale of the package. Market research shows that for every N$50 increase in price of the package, the demand will reduce by 25 packages and for every N$50 decrease in price, the demand will increase by 25 packages. There is ample capacity at the centre to accommodate the premium package at any level of demand. Four (4) people will always be admitted for every premium package sold. The demand for each of the group of customers is independent of each other. The pricing equation is P=abx, while the profit maximizing equation is MR=a2bx Equipment to be hired The centre is proposing to hire some equipment for use in issuing tickets to customers for the coming month. It is anticipated that as a result of this proposal, fixed costs will increase by N\$2 500000 for the month. However, the variable costs per person are anticipated to reduce by 8% as a result of hiring this equipment