The Condition for Constant Satisfaction
An individual's satisfaction depends on two things: their daily consumption (c) and their hours of free time (t). Let's denote the additional satisfaction gained from one more unit of consumption as MU_c and the additional satisfaction gained from one more hour of free time as MU_t. Suppose the individual experiences a small decrease in free time, represented by Δt (a negative value), and a small increase in consumption, represented by Δc (a positive value).
Write the mathematical expression that must be true for the individual's overall satisfaction to remain unchanged after these two adjustments.
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