1. Cost Function: The cost function C(x) is the total cost of producing x units of goods.

It consists of two parts: Fixed costs F and variable costs V(x).

C(x) = F + V(x)

2.    Revenue Function: The revenue function R(x) is the total amount of money generated from the sales of x units of goods.

R(x)= p. x  where p is the demand function that is the price per unit.

3.    The breakeven point is the point where total revenue equals the total cost incurred.

 

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4.    Marginal cost: The marginal cost (MC) is defined as the rate of change of the total cost with respect to x.

5.    Marginal revenue: The marginal revenue is defined as the rate of change of total revenue with respect to quantity sold.

 

ISC              Class 12                   Mathematics Previous Years Board Questions Solutions of Previous years Board Questions Inverse Trigonometric Functions (2000 to 2020) Inverse Trigonometric Functions (2000 to 2020) Matrices (2000 to 2020) Matrices (2000 to 2020) Determinants (2000 to 2020) Determinants (2000 to 2020) Differentiation (2000 to 2020) Differentiation (2000 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorem (1998 to 2020) Rolle’s Theorem and Lagrange’s Mean Value Theorems (1998 to 2020) Maxima and Minima (2000 to 2020) Maxima and Minima (2000 to 2020) Integration (1990 – 2011) Integration (1990 – 2011) Integration (2012 to 2020) Integration (2012 to 2020) Differential Equations (1991 to 2005) Differential Equations (1991 to 2005) Differential Equations (2006 to 2020) Differential Equations (2006 to 2020) Probability (Addition and Multiplication Theorem-Conditional Probability) (1993 to 2020) Probability (Addition and Multiplication Theorem, Conditional Probability) (1993 to 2020) Probability (Baye’s Theorem) (2000 to 2019) Probability (Baye’s Theorem) (2000 to 2019) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Probability (Probability distribution and Binomial distribution) (1992 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Application of Calculus in Commerce and Economics (2005 to 2020) Linear Programming (2008 to 2020) Linear Programming (2008 to 2020) Linear Regression (2005 to 2020)

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MCQ              Class 12         Mathematics Relations and Functions Inverse Trigonometric Functions Matrices Determinants Continuity and Differentiability Tangents and Normals Maxima and Minima Increasing and Decreasing Functions Application of Calculus in Commerce and Economics (Set I) Application of Calculus in Commerce and Economics (Set II) Integration MCQs (Set 1)  Integration MCQs (Set 2) Specimen Paper for Semester 1 – 2021 – ISC – Class XII Mathematics Linear Regression

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