) A study was carried out to establish whether the leaders affected the employees performance. The table below shows employees in various levels and their feeling towards the leader.

Response	Casual employees	Contract employees	Permanent employees
No Yes	67 63	32 18	11 9

Is there sufficient evidence at the 5% significance level, to conclude that the responses differ among the three groups of employees? (12 Marks)

b) Briefly discuss areas where linear programming can be applied (8 Marks)

c) North Rift Industries Ltd. recently introduced a third department called Service Products Department (SDP). Observations of the operations of the three departments during the initial production requirements provided the following input output data.

	A	M	E	Final Demand	Totals
Agriculture (A)	90	130	50	130	400
Manufacturing(M)	50	90	80	180	400
Education(E)	80	60	40	120	300

(i) Based on the data above find an estimated leontiffs matrix for North Rift Industries Ltd. (4 Marks)

This production season requires outputs worth KShs. 120 million, KShs. 210 million, KShs. 150 million for external demands on Agriculture Products, Manufacturing Products and Education Products respectively. Determine the total output worth required from each of the three departments to satisfy this demand.