Based on the provided information, evaluate the analyst's conclusion. Is the calculated total planned spending correct? Justify your answer by showing the correct calculation for total planned spending.

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Deriving the aggregate demand (AD) function involves defining its relationship with the level of aggregate output (Y). The process begins with the fundamental identity in a simple closed economy where aggregate demand is the sum of consumption (C) and investment (I): $$AD = C + I$$. By substituting the linear consumption function, $$C = c_0 + c_1Y$$, into this identity, the AD function is fully specified as: $$AD = c_0 + c_1Y + I$$. This equation expresses total planned spending as a function of both autonomous expenditures ($$c_0$$ and $$I$$) and consumption that is induced by income ($$c_1Y$$).

Derivation of the Aggregate Demand Function in the Simplified Model

By substituting the aggregate consumption function ($$C = c_0 + c_1Y$$) into the aggregate demand identity ($$AD = C + I$$), the aggregate demand in the simplified model can be expressed as an equation dependent on income. The resulting function is: $$AD = c_0 + c_1Y + I$$. This equation shows that total planned spending is composed of autonomous consumption ($$c_0$$), autonomous investment ($$I$$), and consumption that is induced by income ($$c_1Y$$).

Aggregate Demand Equation in the Simplified Model

In a simplified closed economy with no government, total consumption is described by the function C = 200 + 0.75Y, where Y is aggregate income. If planned investment (I) is a fixed amount of 100, which equation correctly represents the aggregate demand (AD) function for this economy?

In a simplified economy with no government or foreign trade, the relationship between total consumption (C) and aggregate income (Y) is given by the equation C = 150 + 0.8Y. If businesses plan to invest a fixed amount (I) of 100, derive the equation for the aggregate demand (AD) function in terms of Y.

Deriving the Aggregate Demand Function

In a simplified economic model, total planned spending (Aggregate Demand, AD) is the sum of consumption (C) and planned investment (I). The consumption function is given by C = c₀ + c₁Y, where Y is aggregate income. Analyze the resulting aggregate demand function by breaking it down into its components. Specifically, differentiate between the components of aggregate demand that are dependent on the level of aggregate income and those that are independent of it, and explain the economic significance of this distinction.

Analyzing the Components of Aggregate Demand

In the goods market, equilibrium is reached when the total production of goods, or output (Y), precisely matches the total demand for those goods, known as aggregate demand. This condition is algebraically represented by the equation $Y = c_0 + c_1Y + I$, where the right side of the equation defines aggregate demand.

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