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A utensil manufacturer produces ' ' dinner sets per week and sells each set at ₹ , where . The cost…
A utensil manufacturer produces '$x$' dinner sets per week and sells each set at ₹ $p$, where $x = \frac{600 - p}{8}$. The cost of production of '$x$' sets is ₹ $\left(\frac{x^2}{2} + 78x + 2000\right)$.
(a)[1.0]
Write the revenue function.
(b)[1.0]
Write the profit function.
(c)[2.0]
Calculate the number of dinner sets to be produced and sold per week to ensure maximum profit.
Answer
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From ISC 2025 Mathematics Paper 1, question 21(i).