Mathematics Test

A housewife wishes to mix together two kinds of food, X and Y in such a way that the mixture contains at least 10 units of vitamin A, 12 units of vitamin B, and 8 units of vitamin C. The vitamin contents of 1 kg of food is given below:

	Vitamin A	Vitamin B	Vitamin C
Food X	1	2	3
Food Y	2	2	1

Given that 1 kg of food X costs Rs. 6 and 1 kg of food Y costs Rs. 10. Which of the following is representing the objective function subject to the constraints.

Question 1/10

Objective function

Linear scale

Linear constraints

Decision variables

Question 2/10

Satisfy the problem constraint

Optimize the objective function

Satisfy the problem constraints and non-negatively restrictions

None of the above

Question 3/10

Green

Yellow

Black

Red

Question 4/10

Them to be slack variables

Them to be artificial surplus variables and slack variables both

Them to be equations

Them to be artificial surplus variables

Question 5/10

1,50,000 Rs

1,35,000 Rs

60,000 Rs

Infeasible solution

Question 6/10

Infinite solutions

Unique Solution

No Solution

Two Solutions

Question 7/10

Z = 6x + 10y subjected to x + 2y ≥ 10, 2x + 2y = 12, 3x + y = 8, x , y ≥ 0

Z = 6x + 10y subjected to x + 2y ≥ 10, 2x + 2y ≥ 12, 3x + y ≥ 8, x , y ≥ 0

min Z = 6x + 10y subjected to x + 2y ≥ 10,2x + 2y ≥ 12,3x + y ≥ 8,x , y ≥ 0

min Z = 6x + 10y subjected to x + 2y ≥ 10, 2x + 2y = 12, 3x + y = 8, x , y ≥ 0

Question 8/10

3

5

4

None

Question 9/10

Feasible and bounded region 3 corner points

Infeasible region

Feasible but unbounded region with 3 corner points

Feasible but unbounded region with 2 corner points

Question 10/10

More than two solutions

Exactly two solutions

No solution

A unique solution

Z = 6x + 10y subjected to
x + 2y ≥ 10,
2x + 2y = 12,
3x + y = 8,
x , y ≥ 0

Z = 6x + 10y subjected to
x + 2y ≥ 10,
2x + 2y ≥ 12,
3x + y ≥ 8,
x , y ≥ 0

min Z = 6x + 10y subjected to
x + 2y ≥ 10,
2x + 2y ≥ 12,
3x + y ≥ 8,
x , y ≥ 0

min Z = 6x + 10y subjected to
x + 2y ≥ 10,
2x + 2y = 12,
3x + y = 8,
x , y ≥ 0