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What is the minimum value of D = 5x + 4y subject to the constraints x&..
What is the minimum value of D = 5 x + 4 y subject to the constraints x ≥ 0, y ≥ 0, x + 2 y ≤ 4 and x + y ≤ 3? => -2 or -3 or 0 or -1..
Find the values of x and y that maximize the objective function P = 7x..
Find the values of x and y that maximize the objective function P = 7 x + 8 y subject to the constraints x ≥ 0, y ≥ 0, x - y ≤ 1 and x + y ≤ 3. => x = 2, y = 1 or x = 4, y = 5 or x = 1, y = 2 or x = 0, y = 3..
Find the values of x and y that maximize the objective function P = 2x..
Find the values of x and y that maximize the objective function P = 2 x + 3 y subject to the constraints x ≥ 0, y ≥ 0, x - y ≤ 1 and x + y ≤ 3. => x = 1, y = 0 or x = 3, y = 0 or x = 0, y = 3 or x = 0, y = 1..
Step 1:
Draw the half planes of all the constraints..
The quantity to be maximized or minimized is represented by a linear f..
The quantity to be maximized or minimized is represented by a linear function called ______. => The restriction or The constraint or The feasible function or The objective function..
Tumor Suppressor Genes
They normally suppress the tumour formation and therefore the disease appears only when the active gene is lacking or both the alleles are lost. They function by putting some constraints in the cell cycle. When these genes are absent, the constraints on the cell cycle are releas..
Post Card
The address of the person writing the postcard is not written elaborately. Only the place is mentioned. The postcard is written within 100 words, as there is a space constraint..
Solution of a LPP
A set of values of the variables x 1 , x 2 ,.x n which satisfy all the constraints is called the solution of the LP..
Some Exceptional Cases
We may come across LPP which may have no feasible (infeasible) solution or may have unbounded solution. If the intersection of the constraints is empty and the problem has no feasible solution. Therefore the given L.P.P has no solutio..
Limitations of Linear Programming
Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, this techni..
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