Q$5(8$ Marks$)$: Hikma. is a vocational school. The school bases its budgets on two measures: the Number of Students $($S$)$ and Number of Courses $($C$)$ and as per the following formula:

Revenues

Faculty Wages

Course Supplies

Administrative expenses

$($$$200S)$

$($$$2,500C)$

$($$$20S+30C)$

$($$$20,000+$$$5S+$$$20C)$

In July, the school's income statement showing the actual results for the month appears below:

Income Statement

For the Month Ended July $31$

Actual students $q,$

Actual courses $q,1,430$

Revenue. $q,$

$$248,430$

Expenses:

Faculty wages $q,$

Course supplies $q,$

Administrative expenses $q,$

Total expense $q,$

$\backslash$table$[[144,340],[37,185],[34,960],[216,485],[$$$31,945$