Question: cAN YOU ANSWER A,B,C AND D? Question 1 (a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q +

cAN YOU ANSWER A,B,C AND D?

Question 1 (a) The cost of producing 5-gallon water bottles is given by C(q) = 0.005q2 + 2q + 1000. If 2000 5-gallon water bottles are produced, find the (i) total cost (ii) average cost (iii) marginal cost (iv) marginal average cost (b) Suppose that f(x) = Bx2 - 3 if X52 (BX + 2 if x > 2 Find the value of B so that f(x) is continuous everywhere along the real line. (c) The demand for watches is given by p = 7000 - 2q dollars, and the supply of watches is given by p = 0.01q2 + 2q + 1000 dollars, where q is the number of watches demanded and supplied when the price per watch is p dollars. Based on the information provided, calculate the equilibrium quantity and the equilibrium price for watches. (d) Show that x2 - 4 is a factor of x4 - 5x3 + 2x2 + 20x - 24

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