A wholesale merchant wants to start the business of cereal with Rs 24000 . Wheat is Rs 400 per quintal and rice is Rs 600 per quintal. He has capacity to store 200 quintal cereal. He earns the profit Rs 25 per quintal on wheat and Rs 40 per quintal on rice. If he stores \(x\) quintal rice and \(y\) quintal wheat, then for maximum profit the objective function is

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.