A company produces three products, X, Y, and Z. Each unit of Product X requires 2 hours of labor, 1 hour
of machine time, and 3 hours of assembly time. Each unit of Product Y requires 1 hour of labor, 2 hours of
machine time, and 2 hours of assembly time. Each unit of Product Z requires 3 hours of labor, 2 hours of
machine time, and 1 hour of assembly time.
The company has the following resources available: 200 hours of labor, 150 hours of machine time, 120
hours of assembly time
The profit per unit for each product is as follows: Product X: Rs. 30/-
, Product Y: Rs. 25/-
, Product Z: Rs.
20/-
. The company wants to maximize its total profit.
a) Formulate a linear programming model for the above problem. (5 marks)
b) Prepare the first simplex table. (2 marks)
c) Find the pivot element.