Problem
A firm uses two inputs R and Twhich cost £40 each per tonne. They both contain the chemical compounds G and H in the following quantities:
1 tonne of R contains 6 kg of G and 3 kg of H
1 tonne of Tcontains 15 kg of G and 4 kg of H
The final product must contain at least 180 kg of G and 60 kg of H per batch. How many tonnes of R and Tshould the firm use to minimize the cost of a batch of the final product? Will the amount of G or H it contains exceed the minimum requirement?
The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.