QNO$8$ A firm can buy two inputs K and $L$ at $18$ per unit and $8$ per unit respectively and faces the production function $Q=24K^{0\mathrm{.}6}{L}^{0\mathrm{.}3}.$ What is the maximum output it can produce for a budget of $50,000?($Work to nearest whole units of K$,$ L and Q$.)$