Alocal gym offers two choices in group discounts. package a has a one-time enrollment fee of $205.59 per person and a monthly fee of $39.63. there is also an optional $15.48 monthly fee for full access to the swimming pool. package b has a one-time enrollment fee of $185.64 per person and a monthly fee of $59.25. there is also an optional $22.38 monthly fee for full access to the swimming pool. which package is best for a couple who wants to join the gym and utilize the pool for five years?

A couple who want to join the gym and utilize the pool for five years, would have to pay one-time enrollment fee for two persons, monthly fee of gym and pool for 60 months.

Therefore Total Expenditure = (2 * one-time enrollment fee) + (2 * 60 * monthly fee of gym) + (2 * 60 * monthly fee of pool)

Now, Package A has a one-time enrollment fee of $205.59 per person and a monthly fee of $39.63. There is also an optional $15.48 monthly fee for full access to the swimming pool.

So Expenditure A = (2*205.59)+(2*60*39.63)+(2*60*15.48) = $7024.38

And, Package B has a one-time enrollment fee of $185.64 per person and a monthly fee of $59.25. There is also an optional $22.38 monthly fee for full access to the swimming pool.

So Expenditure B = (2*185.64)+(2*60*59.25)+(2*60*22.38) = $10,166.88

It is clearly visible that Expenditure B is more than Expenditure A. Hence, Package A is best option for the couple.

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