A Firm's Production Function Is Given by Q = KL $\frac { 2 } { 9 }$

A firm's production function is given by Q = KL
Unit capital and labour costs are $2 and $1 respectively. Find the maximum level of output if the total cost of capital and labour is $6.

A) $\frac { 2 } { 9 }$

B) $\frac { 11 } { 9 }$

C) $\frac { 4 } { 3 }$

D) $\frac { 9 } { 2 }$

E) $\frac { 2 } { 3 }$