A $57-$year$-$old couple is considering opening a business of their own. They will either purchase an established Gift and Card Shoppe or open a new Wine Boutique. The Gift

Shoppe has a continuous income stream with an annual rate of flow at time $t$ given by

$G(t)=37,400(dollars$ per year$).$

The Wine Boutique has a continuous income stream with a projected annual rate of flow at time $t$ given by

$W(t)=21,500e^{0\mathrm{.}08t},(dollars$ per year$).$

The initial investment is the same for both businesses, and money is worth $10\%$ compounded continuously. Find the present value of each business over the next $8$ years $($until

the couple reaches age $65)$ to see which is the better buy. $($Round your answers to the nearest dollar.$)$