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QUESTION 1
(a) (i) What is linear programming problem?
(ii) Define and explain the following terms: (1) objective function, (2) decision variable, (3) constraints, (4) feasible solution, and (5) optimum solution.
(b) A person requires 10, 12 and 12 units of chemicals A, B ad C respectively for his garden. A liquid product contains 5, 2 and 1 units of A, B and C respectively per jar. A dry product contains 1, 2 and 4 units of A, B and C per carton. If the liquid product sells for $3 per jar and the dry product sells for $2 per carton, how many of each he purchase in order to minimise the cost and meet the requirement. (Using Graphical method to solve the problem)
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