Answer:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
Step-by-step explanation:
Given
[tex]C = 15x + 150[/tex]
[tex]R = 45x[/tex]
Required
The break even point
To do this, we make use of:
[tex]R =C[/tex]
[tex]45x=15x + 150[/tex]
Collect Like Terms
[tex]45x-15x = 150[/tex]
[tex]30x = 150[/tex]
[tex]x = 5[/tex]
Substitute 5 for x in [tex]R = 45x[/tex]
[tex]R = 45 * 5[/tex]
[tex]R = 225[/tex]
Hence, the break even point is:
[tex]x = 5[/tex]
[tex]R = C = 225[/tex]
