QUESTION FOUR (a) The sales manager of a company has budgeted K120, 000 for an advertising programme for one of the firm's product. The selected advertising programme consists of running advertisements in two different magazines. The advertisement for magazine 1 costs K2000 per run while the advertisement for magazine 2 costs K.5000 per run. Past experience has indicated that atleast 20 runs in magazine 1, and atleast 10 runs in magazine 2 are necessary to penetrate the market with any appreciable effect. Also, experience has indicated that there is no reason to make more than 50 runs in either of the two magazines. How many runs in magazine 1 and how many in magazine 2 should be made? Use simplex method. (b) Duration and requirement of workforce for each activity is tabulated below for a network Activity Duration Number of men (i) 1-2 2-4 2-3 3-4 3-5 4-5 3-6 5-6 4-6 3 2 3 0 3 7 2 6 5 5 3 7 0 2 2 1 6 5 Draw the network and comment on the scheduling of activities to smoothen the development of the workforce (ii) Indicate the maximum crew size in each case (iii) Re-schedule the activities for smooth development (iv) Find the project schedule if only 4 men are available