The given equation is C = -c b(Y), where C represents consumption expenditure and Y represents the level of income or output.

The equation can be rewritten as C = -c * b(Y).

Let's break down the equation and understand each component:

- C: Consumption expenditure represents the total amount spent by households on goods and services. It includes expenditures on items such as food, clothing, housing, healthcare, etc.

- c: This represents the marginal propensity to consume (MPC), which is the fraction of additional income that is spent on consumption. It indicates the relationship between the change in consumption and the change in income.

- b(Y): This term represents the level of income or output (Y) multiplied by a coefficient b. The coefficient b represents the sensitivity of consumption to changes in income. It shows how much consumption changes for a given change in income.

From the equation, it is clear that the consumption expenditure (C) is a function of the level of income or output (Y). The equation shows how consumption expenditure changes with changes in income.

Now let's analyze the given options:

a) Algebraic function of the level of capital expenditure: The equation does not involve capital expenditure. It focuses on consumption expenditure, not capital expenditure. Therefore, option A is incorrect.

b) Algebraic function of the level of Consumption expenditure: The equation explicitly represents consumption expenditure (C) as a function of income (Y). Therefore, option B is correct.

c) Linear function of the level of Consumption expenditure: The equation is not linear; it involves the coefficient b(Y), which introduces a non-linear relationship between consumption and income. Therefore, option C is incorrect.

d) Algebraic function of the level of Investment expenditure: The equation does not involve investment expenditure. It focuses on consumption expenditure, not investment expenditure. Therefore, option D is incorrect.

In conclusion, the correct answer is option B. The equation C = -c b(Y) represents an algebraic function of the level of consumption expenditure.

Does it come like C=c +by ..... -ve sign does not come here.... it comes for saving expenditure like S= -c+(1-b)y