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Nilai maksimum dari f(x,y)=300x+500y yang memenuhi pertidaksamaan x+2y≤4,x+y≤3,x≥0 dan y ≥ 0 adalah ...

Pertanyaan

N i l a i space m a k s i m u m space d a r i space f left parenthesis x comma y right parenthesis equals 300 x plus 500 y space y a n g space m e m e n u h i space p e r t i d a k s a m a a n space x plus 2 y less or equal than 4 comma x plus y less or equal than 3 comma x greater or equal than 0 space d a n space y space greater or equal than space 0 space a d a l a h space...

  1. 900

  2. 1.000

  3. 1.100

  4. 1.200

  5. 1.500

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

C a r i space t i t i k space p o j o k space d a r i space p e r t i d a k s a m a a n space x plus 2 y less or equal than 4 space d a n space x plus y less or equal than 3 comma space y a i t u colon  space x plus 2 y less or equal than 4 left right arrow space left parenthesis horizontal strike 4 comma 0 right parenthesis end strike space d a n space left parenthesis 0 comma 2 right parenthesis space  x plus y less or equal than 3 left right arrow space left parenthesis 3 comma 0 right parenthesis space d a n space left parenthesis horizontal strike 0 comma 3 end strike right parenthesis  s e p e r t i space p a d a space g a m b a r

S e l a n j u t n y a space c a r i space t i t i k space p o t o n g space d a r i space k e d u a space p e r t i d a k s a m a a n space t e r s e b u t colon  bottom enclose x plus 2 y equals 4  x plus y equals 3 space space space minus end enclose  y equals 1  S u b t i t u s i k a n space n i l a i space y space k e space p e r s a m a a n space x plus y equals 3 comma space m a k a space d i p e r o l e h  x plus 1 equals 3 left right arrow x equals 2  S e h i n g g a space t i t i k space p o t o n g n y a space y a i u t space left parenthesis 2 comma 1 right parenthesis  N i l a i space m a k s i m u m space d i p e r o l e h space d e n g a n space m e n s u b s t i t u s i k a n space t i t i k minus t i t i k space t e r s e b u t space k e space f u n g s i comma space y a i t u  space f left parenthesis x comma y right parenthesis equals 300 x plus 500 y  space f left parenthesis 2 comma 0 right parenthesis equals 300 left parenthesis 2 right parenthesis plus 0 equals 600 space  f left parenthesis 0 comma 3 right parenthesis equals 0 plus 500 left parenthesis 3 right parenthesis equals 1500 space left parenthesis m a k s i m u m right parenthesis space  f left parenthesis 2 comma 1 right parenthesis equals 300 left parenthesis 2 right parenthesis plus 500 left parenthesis 1 right parenthesis equals 1100  space J a d i space n i l a i space m a k s i m u m n y a space a d a l a h space 1500

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Diketahui sistem pertidaksamaan 3x+y≤72; x+y≤48; x≥0; dan y≥0. Nilai maksimum untuk fungsi objektif f(x,y)=3x+2y dari sistem pertidaksamaan tersebut adalah ...

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