Download - Think Break #5
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Think Break #5
Find X to Maximize:p = 10(30 + 5X – 0.4X2) – 2X – 18
1) What X satisfies the FOC?2) Does this X satisfy the SOC for a maximum?
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Think Break #5: Answer
Find X to Maximize: p = 10(30 + 5X – 0.4X2) – 2X – 18
1) FOC f’(X) = 0, solve for X10(5 – 0.8X) – 2 = 050 – 8X = 2→ 48 = 8XX = 6
2) SOC: f’’(X) < 0: f’’(X) = – 8 < 0X = 6 is a maximum