Question

Please help! Final grade of my semester!

Fitness plan 1: Members pay $4 for every visit and no membership fee. Fitness plan 2: Members pay 2$ for every visit and a monthly membership fee of $24

explain how you found a break-even point in complete sentences

Answer 1

12 visits is the BREAK EVEN POINT of two fitness plans.

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.