For a company manufacturing products X and Y, details are given below: Then which of the following mathematical formulation is correct for this L.P.P. to maximize the profit?
|
Machines |
Time (hr) |
Available capacity (hrs) |
|
|
X |
Y |
||
|
A |
1 |
1 |
4 |
|
B |
3 |
8 |
24 |
|
C |
10 |
7 |
35 |
|
Profit unit (rs) |
5 |
7 |
|
Where the number of the products of X and Y types are x and y.
1
x + y ≤ 4, 3x + 8y ≤ 24,
10x + 7y ≤ 35,
x ≥ 0 and y. ≥ 0
subjected to Max Z = 5x + 7y
2
x + y = 4,
3x + 8y = 24,
10x + 7y ≤ 35,
x ≥ 0 and y. ≥ 0
subjected to Max Z = 5x + 7y
3
x + y = 4,
3x + 8y ≥ 24,
10x + 7y ≤ 35,
x ≥ 0 and y. ≥ 0
subjected to Max Z = 5x + 7y
4
None of the above