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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
[2003]
  • a)
    29
  • b)
    38
  • c)
    44
  • d)
    75
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A manufacturer produces two types of products, 1 and 2, at production ...
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.
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Most Upvoted Answer
A manufacturer produces two types of products, 1 and 2, at production ...
There seems to be an incomplete sentence in the question. It is missing the production constraints. Without them, it is impossible to formulate the optimization problem and find the optimal production levels. Can you please provide more information?
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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 < 403x1 + x2 < 24x1 + x2 < 10x1 > 0 x2 > 0The maximum profit which can meet the constraints is[2003]a)29b)38c)44d)75Correct answer is option 'C'. Can you explain this answer?
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