question 3 & 4

QUESTION 3 A manufacturing process has a total cost function given by the equation C= 10 + 5x and total revenue function given by the equation R = 23x - 5x , where x is the quantity produced in units and both C and R are in N$. Identify the value of the company's fixed costs and variable cost for the manufacturing process. (4) Construct a table to calculate the value of C and R using the values 0, 1, 2, 3, 4 and 5 for x (6) Using the data from the table in (ii), plot a fully labelled graph for C and R against x. compulsory to use a graph paper (5) (iv) Use the graph drawn in (ii) to determine Page 6of 7 . The quantity of units produced where the manufacturing process breaks even (3) The range of x in which the manufacturing makes a profit and range in which the manufacturing process makes a loss (3) . The profit or loss made when 350 units are produced (4) [Total: 25 Marks] QUESTION 4 4.1 A company pays N$ 100 000 for the new package machines for use in its factory. The machine is expected to last five years after which it could be sold for N$ 20000 as a used machine. Calculate its value after 4 years: () Using straight line method (4) () Using reducing balance method (6) (ii) Which method will you advise the company to use and why? (2) 4.2 According to the manager of a bicycle shop, there is a linear relationship between he price of bicycle (p) and the number of bicycle (x) sold. At N$900 they sell 30 bicycles per month, but only 10 bicycles will be sold when the price is N$1000. Write p in terms of x (2) (ii) At what price would the shop sell 20 bicycles? (2) (mii) How many bicycles would be sold at N$650? (3) (iv) What is the maximum price that can be charged? (3) 4.3 A box contains 4 chocolate bars and 4 ice creams. Joe eats 3 of them, by choosing them randomly. What is the probability of choosing 2 chocolate bars and 1 ice cream? (3