Answer:
12 visits is the BREAK EVEN POINT of two fitness plans.
Step-by-step explanation:
BREAK EVEN: A point is said to be break even in which, there is NO GAIN and NO LOSS.
Let us assume after m visits, he break even point is achieved.
Now, here at Fitness plan 1:
The charge per visit = $ 4
So, the total charge for m visit = m x ( Cost per visit) = m ( $4) = 4 m
So, Fitness plan 1 costs (4 m) for m visits.
Now, here at Fitness plan 2:
The charge per visit = $ 2
Member ship fee = $24
So, charge for m visit = m x ( Cost per visit) = m ( $2) = 2 m
Now,the total = Member ship fee + Fees for m visit = $24 + 2 m
So, Fitness plan 2 costs (24 + 2 m) for m visits.
Now, for break even, For m visits, BOTH PLAN COSTS SAME:
⇒4 m = 24 + 2 m
or, 2 m = 24
or, m= 24/2 = 12
or, m = 12
or, after 12 visits, the both Plan will cost same amount,
Hence, 12 visits is the BREAK EVEN POINT of two fitness plans.
