Question One (25 marks) a) Operation research encompasses a logical systematic approach to problem solving. State and explain the generally recognized ordered set or steps (10 marks) b) Briefly explain the origin of operations research (5 marks) c) Mawe Mbili furniture produces inexpensive tables and chairs. The production process of each is similar in that both require a certain number of hours of carpentry work and a certain number of labor hours in the painting and vanishing department. Each table takes 4 hours in carpentry and 2 hours in and varnishing shop. Each chair requires 3 hours in the carpentry and 1 hour in painting and varnishing shop. During the current period, 240 hours of carpentry time are available and 100 hours in painting and vanishing time are available. Each table sold yields a profit of Kshs. 700; each chair produced is sold at a profit of Kshs.500. Formulate the complete mathematical statement of Linear Programming problem (10 marks)