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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
Profit per ton
5
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
Solve the following Linear Programming Problem using Simple method. Maximize Z= 3x1 + 2X2 Subject to the constraints: X1+ X2 = 4 X1 - X2 = 2 X1, X2 = 0
After having studied as to what is operations research we shall now try to answers why its need has been felt by the industry. As already tainted out science of OR came
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A PAPER MILL PRODUCES TWO GRADES OF PAPER VIZ., X AND Y. BECAUSE OF RAW MATERIAL RESTRICTIONS, IT CANNOT PRODUCE MORE THAN 400 TONS OF GRADE X PAPER AND 300 TONS OF GRADE Y PAPER I
EXPLAIN THE OR TECHNIQUES
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