Darlene's utility function is U(x, y, z) = x³y⁷z. If her income doubles and prices remain unchanged, her demand for good y will more than double.

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Darlene's utility function suggests that her preferences are Cobb-Douglas, where the demand for each good is proportional to her income. Therefore, if her income doubles, her demand for good y will also double, not more than double.

Darlene's Utility Function Is U(x, Y, Z) = X3y7z

Darlene's Utility Function Is U(x, Y, Z) = X³y⁷z