How many computers must the AB Computer Company sell to break even? Let x be the number of computers. Cost Function: C (x) - 145 + 1/4x Revenue Function: R (x) = 1.5xEnter in the number of computers only.
Accepted Solution
A:
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 BwhereC is the cost functionR is the revenue functionx is the number of computers soldwe know thatBreak even is when the cost is equal to the revenuesoequate equation A and equation B[tex]1.5x=145+\frac{1}{4}x[/tex]Solve for xsubtract 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]thereforeThe Company AB must sell 116 computers to break even