Question 3 Consider a prot maximising rm who produces one product with two inputs. The production function is given to he: q = where q is the level of output and 21,22 are quantities of the two inputs used. The rm is a price taker in the input markets and faces prices wl and w2 for inputs 1 and 2 respectively, and receives a price p for each unit of output. a} Derive the conditional input demands {that is the demand for an input conditional upon producing an output q], the n'n's cost function and the long run supply function {giving the nn's output as a function of prices w1. W1 and p). [50 marks] b} Unrelated to the above example, consider a prot maximising rm that is owned by a single owner and faces an uncertain price p\