George produces computer software $($user friendly$).$ His firm's production function is Q$=1$K $+2$L$,$ where Q$$is the programs, K is capital employed, and L is the labour used.

If George faces factor prices of Pk$=8$ and Pl $=8,$ the cheapest way to produce $$Q $=50$is:

Part $1$: By using how many units of capital?$$

Part $2$:$$ By using how many units of labour?$$

If George faces factor prices of Pk$=5$ and Pl$=15,$ the cheapest way to produce $$Q $=50$is

Part $3$: By using how many units of capital?$$

Part $4$: By using how many units of labour