Richardson Environmental Services Ltd$.$ provides reclamation advice to clients, related to either well sites or pump stations. The company$$s budgeted income statement for the year ended December $31,2023$ is shown below.

Richardson Environmental Services Ltd$.$

Budgeted Income Statement

For the Year Ended December $31,2023$

Total

Professional fees $($a$)$ $$475,000$

Fixed expenses

Salary $-$ Richardson $84,000$

Salary $$ Assistants $(2)120,000$

Supplies $60,000$

Occupancy $100,000$

Communications $30,000$

Client relations $40,000$

$434,000$

Inc. before taxes $($b$)41,000$

Inc. tax exp. $8,200$

Net income $$32,800$

The firm$$s staff consists of one employee$-$owner $($Richardson$)$ and two assistants. Annual budgeted hours for each employee is $2,000.$ The firm expects to complete four well site files and $50$ pump station files during fiscal $2023.$

At present, fees are based on time spent on each file by Richardson. Her hourly charge$-$out rate is $$250.$ Average estimated hours to complete a well site file is $100$ hours for Richardson and $50$ hours for an assistant. Average estimated hours to complete a pump station file is $30$ hours by Richardson and $70$ hours by an assistant. The remaining hours will be used for other necessary $($but unbillable$)$ activities.

$$

Relevant allocation information is as follows:

Type of fixed expense Activity Allocation basis

Richardson Assistants Total

Supplies Supplies used $40\%60\%100\%$

Occupancy Space occupied $($m$2)302050$

Communications # incoming calls $2008001,000$

Client relations # clients entertained $10010$

Required: Using time$-$driven activity based costing, calculate the time equations for Richardson and the assistants that will produce equal pre$-$tax profit percentages for each of the two types of reclamation advising service.