Step 1: Understanding the consumption function.
The consumption function is given as \( C = \overline{C} + cY \), where \( \overline{C} \) is autonomous consumption and \( c \) is the marginal propensity to consume (MPC). The value of \( c \) represents the fraction of additional income that is consumed. Typically, \( c \) is a positive value less than one, but it can be greater than zero, equal to one, or less than one depending on the economic conditions.
Step 2: Analyzing the options.
(A) More than zero: This is true as the marginal propensity to consume is always greater than zero.
(B) Equal to one: This is also true. If \( c = 1 \), then all additional income is consumed.
(C) Less than one: This is true in most cases, as the marginal propensity to consume is typically less than one.
(D) All of these: Correct. \( c \) can be greater than zero, equal to one, or less than one, depending on the situation.
Step 3: Conclusion.
The correct answer is (D) All of these, as \( c \) can take any value greater than zero, equal to one, or less than one.