think break #5
DESCRIPTION
Think Break #5. Give the 1 st and 2 nd derivatives f x ( x,y ), f y ( x,y ),, f xx ( x,y ), f yy ( x,y ), f xy ( x,y ) of each function: f( x,y ) = 7 + 5x + 2y – 5x 2 – 4y 2 – 11xy f( x,y ) = – 5 – 2x + y – x 2 – 3y 2 + 2xy. Think Break #5:Answer. - PowerPoint PPT PresentationTRANSCRIPT
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?
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