constraint homework

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..

What is the maximum value of the objective function C = 6 x + 5 y subject to the constraints x ≥ 0, y ≥ 0, x + y ≤ 4 ? => 44 or 22 or 29 or 24..

Find the point at which the maximum value of P = 10 x + 5 y subject to the constraints x ≥ 0, y ≥ 0 and 3 x + 4 y ≤ 12 occurs. => (4, 0) or (0, 0) or (0, 3) or (1, 1)..

What are the minimum and maximum values of the objective function P = 5 x + 6 y subject to the constraints x ≥ 2, x ≤ 4, y ≥ 1, y ≤ 3? => 28, 38 or 26, 28 or 16, 38 or 16, 28..

Find the maximum value of the function C = 2 x + y subject to the constraints x ≥ 0, y ≥ 0, 5 x + 3 y ≤ 15. => 6 or 5 or 3 or 4..

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

What are the minimum and maximum values of the objective function P = 2 x + 3 y subject to the constraints x ≥ 2, x ≤ 4, y ≥ 1, y ≤ 3? => 7, 17 or 7, 13 or 6, 16 or 6, 18..

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

Find the maximum value of D = 7 x + 8 y subject to the constraints x ≥ 0, y ≥ 0, x ≤ 2 and x + 2 y ≤ 4. => 14 or 16 or 22 or 8..