a) A company bas employed two workers A and B whose productivities are 20 units and 15 units respectively. The wage for A is K12 whilst B's is K8. Are these two employees optimally employed?. The average total cost of producing a tomato unit and the average variable cost are K2 and K1 respectively. Further, price is K10 and the firm operates in a competitive market. i) Calculate the fixed and total costs of producing 1000 units of tomatoes . ii) Calculate the profit the firm makes from selling 1000 tomatoes. iii) What will happen in the market as a result of your answer in (ii). c) Briefly describe the condition associated with optimization of utility of an individual. d) Show (Derive) the mathematical relationship between marginal revenue and elasticity. e) A firm operating under a monopoly faces the following demand and cost fanctions. P =170 - 5Q and TC = 40 + 50Q + 5Q ^ 2. i)What's the profit maximizing quantity and price?. ii) What is the price elasticity of demand at the profit maximising level?. iii)Explain the strategy the firm must adopt to increase its revenue. f) Graphically show the relationship that exists between total revenue and elasticity for a price decrease along the demand curve. g) Explain what determines who bears the most burden of a tax.