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MHT CET · Maths · Linear Programming

A scholarship amount is given by \(z=550 x+300 y\) and is to be distributed among \(x\) boys and y girls. From the graph given below the maximum amount of scholarship is _________.
image

  1. A \(8250\)
  2. B \(9250\)
  3. C \(4250\)
  4. D \(5750\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(8250\)

Step-by-step Solution

Detailed explanation

The feasible region is defined by the vertices: \((0, 10), (0, 15), (10, 0), (15, 0)\)
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