example for constraint

A linear equation represents a straight line. Limited time, labour etc. may be expressed as linear inequations or equations and are called constraints. e.g., If 2 tables and 3 chairs are to be made in not more than 10 hours and 1 table is made in x hours while 1 chair is made in y hours,..

The graph of the linear system of constraints is called ______. => The constraint region or The feasible region or The linear region or The linear graph..

Find the optimal solution in the above problem of decorative item dealer whose objective function is Z = 50x + 18y. In the graph, the corners of the feasible region are O (0, 0), A (0, 80), B(20, 60), C(50, 0) At (0, 0) Z = 0 At (0, 80) Z = 50 (0) + 18(80) = Rs. 1440 At (20, 60), Z = 50 (20) +18 ..

Show graphically that the L.P.P Maximize Z = 6x + y Subject to the constraints x 0, y 0 has an unbounded soluti..

Find the maximum value of the function C = 7 x + y subject to the constraints x ≥ 0, y ≥ 0 , 5 x + 3 y ≤ 15. => 22 or 5 or 21 or 9..

Find the point at which the maximum value of the objective function P = 4 x + 9 y subject to the constraints x ≥ 0, y ≥ 0 and 3 x + y ≤ 6 occurs. => (0, 6) or (1, 6) or (0, 0) or (0, 2)..

What is the maximum value of the objective function C = 4 x + 3 y subject to the constraints x ≥ 0, y ≥ 0, x + y ≤ 4? => 12 or 16 or 0 or 18..

Find the point at which the maximum value of P = x + y subject to the constraints x ≥ 0, y ≥ 0 and 3 x + 4 y ≤ 12 occurs. => (0, 0) or (1, 1) or (0, 3) or (4, 0)..

Find the maximum value of D = 4 x + 5 y subject to the constraints x ≥ 0, y ≥ 0, x ≤ 2 and x + 2 y ≤ 4. => 16 or 14 or 15 or 13..

What is the minimum value of the objective function C = 4 x + 3 y subject to the constraints x ≥ 0, y ≥ 0, x + y ≤ 4? => 0 or 16 or 18 or 12..