Question

A firm manufactures headache pills in two sizes A and B. Size A contains 2 grains of aspirin, 5 grains of bicarbonate and 1 grain of codeine; size B contains 1 grain of aspirin, 8 grains bicarbonate and 6 grains of codeine. It has been found by users that it requires at least 12 grains of aspirin, 74 grains of bicarbonate and 24 grains of codeine for providing immediate effects. Determine graphically the least number of pills a patient should have to get immediate relief.

Answer 1

total gram require 400

Answer 2

Solve this

Objective function

Minimize Z = x1 + x2

Subject to constraints

2x1 + x2 ≥ 12

5x1 + 8x2 ≥ 74

x1 + 6x2 ≥ 24