The ace company sells another product tha only has a $30$ days warranty. however, for that product, ace offers a three$-$year extended warranty for the low price of $$90.$ almost all of ace$$s customers$(85\%$ to be exact$)$ purchase this extended warranty. during $2024,$ ace sold $2,000$ extended warranties evenly throughout the year and collected $$180,000$ cash. also, during spent $$10,000$ to repair products sold under warranty.

account for the extended warranty for $2024$ assuming a warranty repairs are expected to be somewhere equal throughout the warranty period, and warranty repairs are expected to be more heavily incurred during the final year, in an approximate $25\%,25\%$ and $50\%$ amounts for years $1,2,$and $3,$ of the warranty, respectively.