The graphical solution set of the system of inequations x+y 70 ,x+2y 100 ,2x+y 120 ,x 0 ,y 0 is given by

Question

Accepted Answer

Correct answer: D. (d) : We have given the inequations x+y 70, x+2y 100 and 2x+y 120 The corresponding equations are x+y=70 ,x+2y=100 and 2x+y=120. Now, plotting the graph of these equations Now, substituting (0 ,0 ) in the inequality x+y 70 we get 0+0 70, which is true. ∴x+y 70 will represents the shaded region below the line including the line x+y=70 Similarly, the inequalities x+2y 100 and 2x+y 120 will represents the shaded region below the lines and including the lines. Also, x 0 ,y 0, so required region will lie in the first quadrant. ∴ OABC is the required solution.

$The graphical solution set of the system of inequations x + y \leq 70, x + 2 y \leq 100, 2 x + y \leq 120, x \geq 0, y \geq 0 is given by$

Solution

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