Aconcrete batching plan of xyz company could produce 2 type of concrete namely, type a and type b. the cost to produce each m3 of concrete type a and b are rm 20.00 and rm 13.00 respectively. the materials require of each type of concrete is shown in table 2 table 2 materials requirement concrete type a concrete type b availability (m'/week) 1200 1800 aggregate cement water 20 10 100 20 100 a) construct objective and constraint functions of this linear programming b) determine the maximum cost production for both type of concrete c) if the aggregate for concrete type b change 10 m3 would it effect the total cost production for both concrete type a and b? justify your answer.