Stroika Concrete makes bags of easy-use concrete for the DIY market. The company
ID: 1255753 • Letter: S
Question
Stroika Concrete makes bags of easy-use concrete for the DIY market. The company mixes their concrete using two ingredients, "Great Grit" and "A1 Aggregate". Great Grit costs L1 per kilogram and consists of 20% fine sand, 40% coarse sand and 40% gravel. A1 Aggregate costs L0.75 per kilogram and consists of 10% fine sand, 50% coarse sand and 40% gravel. Each bag of Stroika concrete must contain at least 2kg of fine sand, 2 kg of coarse sand and 6 kg of gravel. What is the least cost combination of ingredients that will satisfy the minimum requirements, and what will be the cost of these ingredients per bag of concrete produced?
Explanation / Answer
Great Grit
= 20 % fine + 40% coarse + 40% gravel
= (0.20 * 2) + (0.40 * 2) + (0.40 * 6)
= 3.6 Kg.
Total cost of Great grit = 3.6 * 1 = $ 3.60
A 1 Aggregate:-
= 10 % fine + 50% coarse + 40% gravel
= (0.10 * 2) + (0.50 * 2) + (0.40 * 6)
= 3.6 Kg.
Total cost of A1 Aggregate = 3.6 * 0.75 = $ 2.70
Conclusion:- Total cost of Great grit = $ 3.60 and Total cost of A1 Aggregate = $ 2.70 and Overal cost per bag of concrete produced = 3.60 + 2.70 = $ 6.30