Think Break 4

Think Break 4 - Think Break #4 Find X to Maximize: = 10(30...

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Unformatted text preview: Think Break #4 Find X to Maximize: = 10(30 + 5X 0.4X2) 2X 18 1) What X satisfies the FOC? 2) Does this X satisfy the SOC for a maximum? Think Break #4: Answer Find X to Maximize: = 10(30 + 5X 0.4X2) 2X 18 1) FOC f'(X) = 0, solve for X 10(5 0.8X) 2 = 0 50 8X = 2 48 = 8X X = 6 2) SOC: f''(X) < 0: f''(X) = 8 < 0 X = 6 is a maximum ...
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