Today is $1$ January $2024.$ Ella used $$200,000$ to purchase a florist business in

Sydney. To operate this business, Ella needs to pay rent, maintenance costs, and

labor costs. Here are the details:

$-$Rent will be paid by the end of each month with an amount of $$2,000.$

$-$Labor cost will be paid by the end of each month with an amount of $$10,000.$

$-$Maintenance cost will be paid by the end of each quarter with an amount of $$500.$

$-$Ella predicts that this florist franchise initially can have monthly revenue of

$$13,000.$ Assume that Ella can obtain this amount by the end of each month. Ella forecasts that this revenue amount will increase at the rate of y$\%$ p$.$a$.$ The revenue increase will only happen at the beginning of each year. For example, this florist franchise initially has monthly revenue of $$13,000$ in $2024.$ Then the revenue amount will become $$13,000(1+$y$\%)$ per month in $2025$ and $$13,000(1+$y$\%)^(2)$ per month in $2026.$

$-$Ella plans to run this business for three years and predicts that she can sell this business on $1$ January $2027$ with an amount of $$240,000.$

Question:

Ella plans to use an online promotion service to boost her business from $1$ January $2024$ to $31$ March $2024.$ The cost of this service is listed in the following table.

Service price list:

$-$ Weekday $($Monday to Friday except public holidays$)$ : $$150$

$-$ Saturday $($except public holiday$)$ : $$180$

$-$ Sunday and Public holidays : $$200$

Calculate the present value of this promotion cost on $1$ January $2024$ by using an effective daily interest rate of $0\mathrm{.}02\%.$

Hint :

Public holidays are on: $1$st Monday January, $26$th Friday January, $29$th Friday March, $30$th Saturday March and $31$st Sunday March.

You can use the Weekday formula in Excel to returns the day of the week corresponding to a date. The day is given as an integer, ranging from $1($Sunday$)$ to $7($Saturday$),$ by default.