MHT CET202012 Oct 2020Evening ShiftMathematicsLinear ProgrammingActual

The feasible region of L. P. P. Maximize z =70 x+50 y subject to 8 x+5 y 60,4 x+5 y 40 and x 0, y 0 is

Options

Aa triangle
Ba square
Ca pentagon
Da quadrilateral

Correct answer

D. a quadrilateral

Step-by-step solution

array |l|l|l| Line & Point on X-axis & Point on Y-axis 8 x+5 y=60 & ~A (7.5,0) & B (0,12) 4 x+5 y=40 & C (10,0) & D (0,8) array Feasible region is shaded. Point of intersection E (5,4) Also A=(7.5,0) and D (0,8) So OAED is a quadrilateral.

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