Answer:
[tex]p =2.15n - 875[/tex]
Step-by-step explanation:
Given
[tex]CD_s= n[/tex]
[tex]Charges = 2.50[/tex] per CD
Expenses
[tex]E_1 = 875[/tex]
[tex]E_2 = 0.35[/tex] per CD
Required
The profit (p)
First, calculate the total income on n CDs
[tex]Total = Charges * n[/tex]
[tex]Total = 2.50 * n[/tex]
[tex]Total = 2.50n[/tex]
Next, the expenses on n CDs
[tex]Expenses = E_1 + E_2 * n[/tex]
[tex]Expenses = 875 + 0.35 * n[/tex]
[tex]Expenses = 875 + 0.35n[/tex]
The profit (p) is:
[tex]p = Total - Expenses[/tex]
[tex]p =2.50n - (875 + 0.35n)[/tex]
Open bracket
[tex]p =2.50n - 875 - 0.35n[/tex]
Collect like terms
[tex]p =2.50n - 0.35n - 875[/tex]
[tex]p =2.15n - 875[/tex]