Question: (1) For the function f(x) =1- find the following: (x+2)' (ii) f(x+k) (i) f(-x) 14 marks] (2) The pricep (in dollars) and the quantity

(1) For the function f(x) =1- find the following: (x+2)' (ii) f(x+k)

(1) For the function f(x) =1- find the following: (x+2)' (ii) f(x+k) (i) f(-x) 14 marks] (2) The pricep (in dollars) and the quantity q sold of a certain product obey the demand equation q = 800- 20p and 0spS 40 (i) Express the revenue R as a function of q. (ii) What is the revenue if 20 units are sold? (iii) What quantity q maximizes revenue? What is the maximum revenue? (iv) What price should the company charge to maximize revenue? (v) What price should the company charge to earn at least $3500 in revenue? [12 marks) (3) You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40-4x where x is the number of tablets produced in millions. It costs the company $15 to make a tablet. (i). Write an equation for the manufacturer's profit as a function of the number of tablets produced. (ii). The company currently produces 1 million tablets and makes a profit of $21,000,000, but you would like to scale up production a bit. What greater number of tablets could the company produce to yield the same profit? 19 marks]

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