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Hi, kindly help me to answer below questions 3 and 5. Thanks! QUESTION 3 a) Find derivatives of the following functions i. Find ifs =

Hi, kindly help me to answer below questions 3 and 5. Thanks!

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QUESTION 3 a) Find derivatives of the following functions i. Find ifs = (7+9)(#-9). (2.5 marks) ii. Find - if R(x) = 70x' +71x 2x + 2 (2.5 marks) b) Suppose that the total revenue function is given by R(x) = 128x, and that the total cost function is given by C(x) =300+30x+ # x where x is the number of units. Find the marginal profit function. (6 marks) c) Suppose the average costs of a mining operation depend on the number of machines used, and average costs, in dollars, are given by AC = 6x + -, x > 0, where x is the number of machines used. i. Find the number of machines used where the average cost is minimum. ( 3 marks) ii. Find the minimum average cost ( 3 marks) iii. Find the marginal cost function. (3 marks)QUESTION 5 a) Suppose that the demand for a product is given by q = 10 -2p. Find the elasticity when P = RM50 and q = 501 where p is in Ringgit and q is the number of units. b) Integrate the following functions (5 marks) i. [(-2x] -9x -7)edx ii. [(4x' - 9)*(20x* )dx. ( 1 mark) ( 1 mark) iii. (3 marks) c) The demand equation for a type of headphone is given by P = 400 - 2q and the supply equation is given by P = 20q + 334, where p is the price in RM and q is the quantity in hundreds of units. Find the producers' surplus and the consumers' surplus under market equilibrium. (10 marks)

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