(g) Your firm runs an industrial process that requires three inputs, labelledx, y and z. The income your firm derives from this process, in millions of pounds,1 1 5is given by f (x, y, z) = 20xªy3z12, and the amount it spends on the process,also in millions of pounds, is given by the function g(x, y, z) = 3x² + 4y² + 2z?Currently, your firm allocates a budget of g(x, y, z) = 10 to running the process,and derives an income from the process of around 22:10.At the current budget level, is it profitable to increase the budget allocated to this process? For each extra pound invested, how much profit (or loss) should your firm expect to generate?

Fig: 1