Question: 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 T should 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?