Answer:
The Company AB must sell 116 computers to break even
Step-by-step explanation:
we have
[tex]R(x)=1.5x[/tex] -----> equation A
[tex]C(x)=145+\frac{1}{4}x[/tex] ----> equation B
where
C is the cost function
R is the revenue function
x is the number of computers sold
we know that
Break even is when the cost is equal to the revenue
so
equate equation A and equation B
[tex]1.5x=145+\frac{1}{4}x[/tex]
Solve for x
subtract 1/4x both sides
[tex]1.5x-\frac{1}{4}x=145[/tex]
[tex]1.5x-0.25x=145[/tex]
[tex]1.25x=145[/tex]
Divide by 1.25 both sides
[tex]x=116[/tex]
therefore
The Company AB must sell 116 computers to break even
