A firm can allocate its labour force between two factories that produce two different goods. The production function of the first factory, which produces good A, is q = L. The production function of the second factory, which produces good B, is q = 2L. The firm can sell q units of good A at a price of PA = 15-9A and they can sell qa units of good B at a price of Pa = 30 -2q. The firm has a total labour force of L=100 available. (a) How much revenue does the firm earn if they allocate , units of labour to the first factory and the remaining Lg units to the other factory? 5 marks (b) What constraint is the firm facing? 2 marks