Juliette loves to eat ice cream and spends a fortune each week buying it$.$ In an effort to save money, she is considering making her own ice cream at home. The cost of an ice cream maker is $$150$ and the cost of ingredients is $$8$ for each $1\mathrm{.}5$ L batch. The cost of the same $1\mathrm{.}5$ L is $$7$ at the store. If she eats three litres of ice cream per month, will she save money by making her favourite treat at home? Assume the ice cream maker has a one$-$year warranty and breaks immediately after.