The production function of Andrew's business is Q = L + 1.5K where Q is the variable capturing the quantity of output produced, L is the variable measuring the units of labour hired and K is the variable measuring units of capital hired. Suppose also that the wage rate per unit of labour is $20 and the rental rate per unit of capital is $24. Given this information, answer the following questions.
(i) In the long run, what is the input bundle that Andrew should choose to produce 200 units of output? Show your working and explain your answer. What will be the associated minimum total cost of production?
(ii) Diagrammatically represent Andrew's chosen input combination carefully using an isoquant and an isocost line while keeping labour (L) on the horizontal axis.
