2. Suppose a business has an input-output relationship, namely:

0.2Q³ -4Q² + 28Q = L

Suppose labour costs £10 per hour and the business had fixed capital costs of£1000 per day.

Derive the equations which describe the following:

i) total variable cost;

ii) total fixed cost;

iii) total cost;

iv) average variable cost;

v) average fixed cost;

vi) average total cost;

vii)marginal cost.

Sketch each of these curves, roughly but accurately.