Your friend is considering a new exhaust system for his Lamborghini Diablo. The estimates from the two shops are shown in the following table. Besides installation, shop Y includes a full replacement warranty for $4$ years in the quote. Since money does not appear to be a problem for your friend, and he asked you about the economics of the two quotes, which should he choose based on annual worth values and an interest rate of $12\%$ per year?

Shop X Y

Installed cost, $ $2,6003,100$

Total AOC, $$/$year $1,200900$

Salvage value, $ $300900$

Life, years $24$

The annual worth value of shop X is $$$

$,$ and the annual worth value of shop Y is $$$

$.$

The shop that your friend has to select on the basis of the annual worth analysis is