Feasible Solution

Q.

Assume that the below situation can be expressed as a linear cost function. Find the cost function in each case: Fixed cost:$\$100$; $50$ items cost $\$1600$ to produce.

Q. The optimal solutions for 'investment and profit' based question, the ratio of profit to the investment is minimum.

1. False
2. True

Q.

Which of the following are feasible solutions for a linear programming problem with constraints
x ≥0, y ≥ 0
3x+5y ≤ 15
5x+2y ≤ 10

1. (1, -1)

2. (-3, 5)

3. (0, 0)

4. (2, 0)

Q. A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 labour hours for fabricating and 1 labour hour for finishing. Each piece of Model B requires 12 labour hours for fabricating and 3 labour hours for finishing. For fabricating and finishing, the maximum labour hours available are 180 and 30 respectively. The company makes a profit of Rs 9000 on each piece of model A and Rs 11000 on each piece of Model B.How many pieces of Model A and Model B should be manufactured per week to realise a maximum profit?

1. 20 pieces of model A & 0 pieces of model B
2. 0 pieces of model A & 10 pieces of model B
3. 12 pieces of model A & 6 pieces of model B
4. 10 pieces of model A & 10 pieces of model B

Q. Determine graphically the minimum value of the objective function
Z = 50x + 20y
subject to the constraints:
2x – y ≥ – 3
3x + y ≥ 3
2x – 3y ≤ 12
x ≥ 0, y ≥ 0

1. 50
2. 60
3. 100
4. 300

Q. Solve the following linear programming problem graphically:
Minimise Z = 50x + 25y
subject to the constraints:
x + 2y ≥ 10
3x + 4y ≤ 24
x ≥ 0, y ≥ 0

1. 125
2. 150
3. 275
4. 400

Q. The feasible region for an LPP is shown in the Figure.

Let F = 3x – 4y be the objective function. Maximum value of F is.

1. 0
2. 8
3. 6
4. -12

Q. The corner points of the feasible region determined by the system of linear constraints are (0, 0), (0, 40), (20, 40), (60, 40), (60, 0). The objective function is
Z = 4x + 3y.
Compare the quantity in Column A and Column B
Column A Column B
Maximum of Z 325

1. The quantity in column A is greater
2. The quantity in column B is greater
3. The two quantities are equal
4. The relationship can not be determined on the basis of the information
   supplied