objects and functions

The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expressio..

Limits on the variables in the objective function are called _______. => Extremes or Vertices or Restrictions or Objectives..

If the cost of a tape is $14 and the cost of a CD is $22, then write the objective function for the cost(C) of z tapes and a CDs . => C = 22 z + 14 a or C = 14 z + 22 a or C = 308 z a or C = 36 + z + a..

If the cost of a tape is $10 and the cost of a CD is $12, then write the objective function for the cost of x tapes and y CDs . => C = 12 x + 10 y or C = 22 + x + y or C = 10 x + 12 y or C = 120 xy..

Functions Animation..

In our daily life, we come across many relations such as father-son, brother-sister, teacher-student and many more. In mathematics too, we come across relations such as . A is a subset of B . line l is parallel to line m . number m is less than number n . In all these, we notice..

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..

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 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 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..