A hardware store is planning to start producing some generic items to sell in their store in addition to name brand tools. It is planning on making hammers and wrenches. The hammer unit profit is $$18\mathrm{.}00$ and the wrench unit profit is $$23\mathrm{.}00.$There are $2$ factories available to make the products.Factory $1$ requires $10$ minutes to make a hammer and $6$ minutes to make a wrench. It has $156$ minutes available.The products then move to factory $2$ to be completed.Factory $2$ requires $8$ minutes to finish a hammer and $14$ minutes to finish a wrench. It has $226$ minutes available.