3. The revenue derived from the sale of shirts is represented by = 521 2 where n is the number of shirts sold and R is the daily revenue. It is also known that the fixed cost is $5,364 per day plus a variable cost of $205 per shirt.

1. (a) Construct an equation to express the total cost per day (TC), in $, in terms of n.

   (2 marks)

2. (b) Find the profit function using the equation: Profit (P) = Revenue Total Cost. (3 marks)

3. (c) Hence, determine the values of n for which the shop can make a profit. (5 marks)

4. (d) Find the maximum profit with the profit function found in (b) and the corresponding number of

shirts sold per day.