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Sukriya
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rishabh56320:
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Answer:
160
Step-by-step explanation:
Let the number of units of food type P = x and Q = y.
x ≥ 0 and y ≥ 0.
Given, The mixture contains atleast 8 units of vitamin A and 11 units of B.
3x + 4y ≥ 8
5x + 2y ≥ 11
Minimize, Z = 60x + 80y ---- (i)
3x + 4y ≥ 8 --- (ii)
5x + 2y ≥ 11 --- (iii)
x, y ≥ 0 ---- (iv)
From figure:
It can be seen that feasible region is unbounded.
A(8/3,0), B(2,1/2),C(0,11/2)
The values of Z at corner points are:
A(8/3,0) = 160
B(2,1/2) = 160
C(0,11/2) = 440.
Here, Cost Z is minimum at A(8/3,0) and B(2,1/2) and is rs.160.
Therefore, Minimum cost of the mixture is 160.
Hope it helps!
160
Step-by-step explanation:
Let the number of units of food type P = x and Q = y.
x ≥ 0 and y ≥ 0.
Given, The mixture contains atleast 8 units of vitamin A and 11 units of B.
3x + 4y ≥ 8
5x + 2y ≥ 11
Minimize, Z = 60x + 80y ---- (i)
3x + 4y ≥ 8 --- (ii)
5x + 2y ≥ 11 --- (iii)
x, y ≥ 0 ---- (iv)
From figure:
It can be seen that feasible region is unbounded.
A(8/3,0), B(2,1/2),C(0,11/2)
The values of Z at corner points are:
A(8/3,0) = 160
B(2,1/2) = 160
C(0,11/2) = 440.
Here, Cost Z is minimum at A(8/3,0) and B(2,1/2) and is rs.160.
Therefore, Minimum cost of the mixture is 160.
Hope it helps!
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