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

If George faces factor prices of $\backslash (\backslash$mathrm$\{$Pk$\}=7\backslash )$ and $\backslash (\backslash$mathrm$\{$PI$\}=7\backslash ),$ the cheapest way to produce $\backslash (\backslash$mathrm$\{$Q$\}=30\backslash )$ 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 $\backslash (\backslash$mathrm$\{$Pk$\}=5\backslash )$ and $\backslash (\backslash$mathrm$\{$Pl$\}=15\backslash ),$ the cheapest way to produce $\backslash (\backslash$mathrm$\{$Q$\}=30\backslash )$ is

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

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