A launcher make two blend of animals feeds that is daily meal and Maize jam by mixing three inputs coded x, y and z and the weekly cost and availability of the input are as below.

InputsAmount in (Kg)

x25,000

y50,000

z75,000

The blend requirement of each type of input as below.

% of each inputs

xyz

Daily meal 255520

Maize jam402040

There is a requirement that the launcher must produce 50,000 kg of each blend.

Given that the cost of making each unit of dairy meal and maize jam is 100, 120 respectively.

Formulate the above problem as linear programming problem if the objective function of the launcher is to make blend of the least possible cost.