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  • General Form of a Quasi-Linear Utility Function

Indifference Curve Equation for a Quasi-Linear Function

For a quasi-linear utility function of the form u(t,c)=v(t)+cu(t,c) = v(t) + c, the equation representing a single indifference curve is obtained by setting the utility level to a constant, u0u_0. This yields the formula v(t)+c=u0v(t) + c = u_0. This equation can be rearranged to express consumption cc as a function of free time tt (i.e., c=u0v(t)c = u_0 - v(t)), which is a necessary step for either plotting the curve or directly calculating its slope.

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