Question 3 (a) Mr. Stonewall has to set up a firm that produces calculators competing with the likes of Casio and Sharp calculators. In order for to estimate the amount of labour and capital needed to maximise profit in the long run, Mr. Stonewall has employed you to help him in this regard. Currently, the competitive wage rate is set at $2 per unit of labour and capital is rented at $ 18 per unit. The forces of demand and supply in the industry has also set the equilibrium price of calculators at $ 1.25 per unit. suppose the production function of Mr. Stonewall's firm is given as Q = 10K0.510.5 + 20 and the firm is contracted to produce a total of 770 calculators. i. Find the optimal levels of capital and labour needed to optimize profit. 8 marks ii. The maximum profit of the firm at the optimal levels of labour and capital. 3 marks