Making Beer. The Schutzberg Brewery has received an order for $1,500$ gallons of $3-$percent beer $($that is$,3$ percent

alcoholic content$).$ This is a custom order because Schutzberg does not produce a $3-$percent product.

They do brew the following products.

Product Percent Alcohol Cost per Gallon

Free $0\mathrm{.}250\mathrm{.}55$

Light $2\mathrm{.}500\mathrm{.}65$

Amber $4\mathrm{.}50$

Dark $6\mathrm{.}000\mathrm{.}75$fThere are $500$ gallons of each of these products on hand.$($limited to $500$ gallons$)$

Rather than brewing a $3-$percent beer from scratch, the brewmaster has decided to mix existing stocks,

perhaps with some water $(0$ percent alcoholic content$),$ to satisfy this small order in the shortest possible time, hoping that the taste will be adequate.

In case the taste is bad and he has to throw the mixture out, he would like to minimize the cost of the mix.Product Free Light Amber Dark Water

$\%$ Alcolhol $0\mathrm{.}252\mathrm{.}54\mathrm{.}560$

Cost per Gallon $0\mathrm{.}550\mathrm{.}650\mathrm{.}80\mathrm{.}750$

Available quantity $($gallons$)500500500500$ Unlimitedb. What is the total cost for the $1500$ gallons of product?