Question

Ouestion (2): Manufacturing company produces two lines of its products, the super and regular. Resource requirements and the available resources for production are given in the following table 0.2 hrs 0.2 hrs 500 hrs Production Line Profit contributio Assembly time Paint time Inspection time Regular Super Available Resource 1.2 hrs 0.8 hrs $701.6 hrs $50 1800 hrs 700 hrs Regular customers will demand at least 150 units of regular line and 50 of super. Formulate the LP problem that will determine the optimal solution.

Answer 1

Let x & y be the number of Regular and super products produced by company Objective function maximize z = 70x + 50 y constraints i) 1.2x + 1.6y lessthanorequalto 1800 hrs ii) 0.8x + 0.9 y lessthanorequalto 700 hrs iii) 0.2 x + 0.2 y lessthanorequalto 500 hrs Solving first constraint 1.2 x + 1.6 y lessthanorequalto 1800 x = 0 implies 1.6y = 1800 y = 1125 y = 0 implies x = 1500 we get two coordinates it helps in plotting graph (0, 1125) 2(1500, 0)

First derive objective function from question

Then derive constraints and solve it

plot graph with the solution

The mutal area is the place where objecive fuunction satisfies