abc company manufactures both interior and

Question

ABC Company manufactures both interior and exterior paints from 2 raw materials M1 and M2. The following table gives basic data of problem.

 

	Exterior paint	Interior paint	Availability
N1	6	4	24
N2	1	2	6
Profit per ton	5	4

A market survey signifies that every day demand for interior paint cannot surpass that for exterior paint by more than 1 ton. Also maximum routine demand for interior paint is 2 tons. Develop LPP to find out the top product mix of interior and exterior paints that maximizes the daily total gain (profit).

Answer

Assume

 x₁ - number of units of exterior paint

      x₂ - number of units of interior paint

 

Maximize Z = 5x₁ + 4x₂         

Subject to

6x₁ + 4x₂ ≤ 24

x₁ + 2x₂ ≤ 6

x₂ - x₁≤ 1

x₂≤ 2

                 x₁≥0, x₂ ≥0

 

b) The highest routine demand for exterior paint is almost 2.5 tons

                 x₁≤ 2.5

c) Routine demand for interior paint is as a minimum 2 tons

                 x₂ ≥ 2

d) Routine demand for interior paint is accurately 1 ton more than that for exterior paint.

                 x₂ > x₁ + 1