Correct option is C
We have
Min. Z =5x+7y
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Question
A dietician wishes to mix two types of foods: 'Food I' and 'Food II' in such a way that the vitamins contents of the mixture contains atleast 8 units of vitamin A and 10 units of vitamin C. Food I contains 2 units/kg of vitamin A and one unit/kg of vitamin C. It costs ₹ 5 per kg to purchase Food I and ₹ 7 per kg to purchase Food II. He wishes to minimise the cost of the mixture. If x, y are quantities of Food I, II purchased, then the objective function is:
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EnglishSimilar Questions
- 1)
Which of the following sets is not convex?
- 2)
The number of Basic variables in any solution of Transportation problem with m-origins and n-destinations is
- 3)
In a LLP degeneracy arises at
- 4)An objective function Z=ax + by is maximum at points (8, 2) and (4, 6). If a ≥ 0 and b ≥ 0 and ab = 25, then the maximum value of the function is equal to:
- 5)The corner points of the feasible region determined by
x+y≤8, 2x+y≥8, x≥0, y≥0
are A (0, 8), B (4, 0) and C (8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is: - 6)The feasible region represented by the constraints 4x+y≥80, x+5y≥115, 3x+2y≤150, x, y≥0 of an LPP is
- 7)Which one of the following represents the correct feasible region determined by the following constraints of an LPP?
- 8)
For the objective function z = px + qy, where p, q > 0 the corner points of the feasible region determined by the system of linear constraints are - (0, 10), (5, 5), (15, 15) and (0, 20), condition on p and q so that maximum of z occurs at both the points (15, 15) and (0, 20) is:
- 9)The corner points of the feasible region determined by the following system of linear inequalities 2x + y≤10, x +3y≤15, x, y ≥0 are (0, 0), (5, 0), (3, 4) and (0, 5). Let z= px + qy where p and q > 0.
The condition on p and q so that the maximum of z. occurs at both (3, 4) and (0, 5) is: - 10)Choose the wrong statement from the following:
