The organiser of the SG60 events held SG60 concerts on two specific weekends in June 2025. The seats in the concert hall were divided into three sections. The table summarises the number of tickets sold on Saturday and Sunday in week 1.
| Section A | Section B | Section C (obstructed view) |
|---|
| Saturday | \(164\) | \(144\) | \(50\) |
| Sunday | \(128\) | \(90\) | \(40\) |
Write down a 2 × 3 matrix A to represent the information shown in the table.[1]
The price per ticket is SGD 30 for Section A, SGD 25 for Section B and SGD 20 for Section C. Represent the price of the tickets in a 3 × 1 column matrix P.[1]
Evaluate the matrix \((1\ 1)AP\).[2]
Interpret the element(s).[1]
In week 2, the number of tickets sold for Section A increased by 25%, for Section B increased by 50%, and for Section C decreased to 80%.
Write down a matrix \(M\) such that the elements of matrix \(F\), where \(F=AM\), represent the number of tickets sold for Sections A, B and C respectively on Saturday and Sunday in week 2.[1]
State what each element of matrix \(FP\) represents.[1]