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A manufacturer produces two types of products, 1 and 2, at production levels of x1 and x2 respectively. The profit is given is 2x1 + 5x2. The production constraints are :
x1 + 3x2 < 40
3x1 + x2 < 24
x1 + x2 < 10
x1 > 0 , x2 > 0
The maximum profit which can meet the constraints is
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- 29
- 38
- 44
- 75
- 29
Correct Option: C
Feasible Region (0– A – B – C– 0)
At point (A) 0, 10)
Z = 2 (0) + 5 (10) = 50
At point B (7,3)
Z = 2(7) + 5(3) = 2y
At point C (8, 0)
Z = 2(16) + 5(0) = (16) 2
⇒ 32
Hence maximum profit is Zmax = 50
No correct option is given.
