Economics Archive: Questions from November 21, 2023
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6 (15 points). Solve the problems: a) Maximize x + ln(1 + y),
s.t. 16x + y ≤ 495, x ≥ 0, y ≥ 0. b) Maximize xe*-* - 2ey, s.t. y ≤
1+4, x ≥ 0, y ≥ 0. c) Maximize xy +x+2y, s.t. 2x + y = 7,
6 (15 points). Solve the problems: a) Maximize \( x+\ln (1+y) \), s.t. \( 16 x+y \leq 495, x \geq 0, y \geq 0 \). b) Maximize \( x e^{y-x}-2 e y \), s.t. \( y \leq 1+\frac{x}{2}, x \geq 0, y \geq 0 \)
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