Stroika Concrete makes bags of easy use concrete for the DIY

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 $1 per kilogram and consists of 20% fine sand, 40% coarse sand and 40% gravel. A1 Aggregate costs $0.75 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, 2kg of coarse sand and 6kg of gravel. What is the least cost combination of the ingredients that will satisfy the minimum requirements and what will be the cost of these ingredients per bag of concrete produced?

Solution

Answer:

Given the information is:

Great Grit costs $1 per kilogram and it consists:

            20% fine sand

            40% coarse sand and

            40% gravel

A1 Aggregate costs $0.75 per kilogram and it consists:

            10% fine sand

            50% coarse sand and

            40% gravel

Each bag of Stroika concrete must contain at least:

            2kg of fine sand

            2kg of coarse sand and

            6kg of gravel

We have to put 10kg ingredients overall to produce each bag of Stroika concrete.

If we need the least cost combination of the ingredients that will satisfy the minimum requirements are take a place, because Great Grit cost is $1 per kilogram and A1 Aggregate cost is $0.75.

Total Cost        = 1(Great Grid) + 0.75(A1 Aggregate)

                                    = 1(5) + 0.75(10)

                                    = 12.50