An analyst examines a consumer's preferences for consumption (c) and free time (t) using the utility function u(t, c) = 10t - t² + c. Their analysis concludes: "Because the second derivative of the indifference curve equation, d²c/dt², is a positive constant (2), the indifference curves are convex, which implies a diminishing marginal rate of substitution for all positive values of free time (t)."
Which of the following statements provides the most accurate evaluation of the analyst's conclusion?
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An analyst examines a consumer's preferences for consumption (c) and free time (t) using the utility function u(t, c) = 10t - t² + c. Their analysis concludes: "Because the second derivative of the indifference curve equation, d²c/dt², is a positive constant (2), the indifference curves are convex, which implies a diminishing marginal rate of substitution for all positive values of free time (t)."
Which of the following statements provides the most accurate evaluation of the analyst's conclusion?
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