Question

A manufacturer of plastics is planning to blend a new product from four chemicalcompounds. these compounds are mainly composed of three elements, a, b and

c.the composition and unit cost of these chemicals are given below:chemical compound1 2 3 4percentage of a30 20 40 20 percent of b20 60 30 40 percentage of c40 15 25 30cost in rupees per kilogram 20 30 20 15the new product consists of 20 percent of element a, at least 30 percent of element band at least 20 percent of element

c. due to possible side effects of compounds 1 and2, they must not exceed 30 percent and 40 percent of the content of the new product.formulate this as a lpp if the objective is to find the least cost of blending.

Answer 1

1 and 2 must be 30 or 20 %because of the compound