Quantitative techniques

Question

To produce some flavor of dog food requires a mixture of wheat and fingerlings.A company has specialized in producing two varieties of the dog food.In Product A,the company mixes 40 grams of wheat to 50 grams of fingerlings while in product B, the company mixes 10 grams of wheat to 40 grams of fingerlings.Given that the maximum weights of the products that can be produced are for A it is 540 grams and B it is 300 gramd, obtain the optimal number of units of Wheat and fingerlings that would be required to produce maximu capacity assuming the ingredients are packaged in units.

Answer 1

for A, 240g wheat + 300g fingerlings = 540 grams max

for B 60g wheat + 240g fingerlings = 300 grams maximum

6(40 W + 50 F) = 240 and 300 = 540

6( 10W + 40F ) = 60 + 240 = 300