31) JB 1A. The marketing research department for a computer company used the large information technology base in Montego Bay to test market the firm's new laptop. The department found that the relationship between p ( dollars per unit ) and demand x ( units sold per week ) was given approximately by 1 8 p = 750 - 0.12 x. The total cost for producing each laptop is C (x) = 60 x + 140,000 dollars. Determine 5 12 the: ( i ) revenue function (2 marks) (ii ) profit function (2 marks) (iii ) marginal cost 1 mark) 9 16 ( iv ) marginal revenue (2 marks) ( v ) marginal profit (2 marks) (vi ) the level of production at which profit is maximised (3 marks) (vii ) maximum profit (3 marks) 20 24 (2) R (x) = (ii) P (x) = 28 (iii) C' (x) = (iv) R' (x) = (v) P' (x) = (vi) x= 34 (vii) Max. Profit = S Done