Question

A producer grower is purchasing fertilizer containing three nutrients: A, B and C. The minimum weekly requirements are 80 units of A, 120 of B, and 240 of C. There are two popular blends of fertilizer on the market. Blend I, costing R8 a bag, contains 2 units of A, 6of B, and 4 of C. Blend II, costing R10 a bag, contains 2 units of A, 2 of B, and 12 of C. Write down the constraints in terms of x and y. Represent the constraints on graph paper. Show the feasible region clearly onthe graph. Write down the cost function How many bags of each blend should the grower buy each week to minimize the cost of meeting the nutrient requirements? What is the minimum cost? 5 What is the minimum cost?

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