$4\mathrm{.}1\mathrm{.}16$ A laundry can purchase soap containing $30\%$ water for a price of $$\frac{0\mathrm{.}30}{k}g$ FOB the soap manufacturing plant $($i$.$e$.,$ at the soap plant before shipping costs, which are owed by the purchaser of the soap$).$ It can also purchase a different grade of soap that contains only $5\%$ water. The freight rate between the soap plant and the laundry is $$\frac{6\mathrm{.}05}{100}kg.$ What is the maximum price the laundry should pay for the $5\%$ soap?