Roboguru

Nilai maksimum fungsi objektif yang memenuhi himpunan penyelesaian sistem pertidaksamaan , adalah ...

Nilai maksimum fungsi objektif f left parenthesis x comma space y right parenthesis space equals space 4 x space plus space 5 y yang memenuhi himpunan penyelesaian sistem pertidaksamaan x plus y less or equal than 6 space semicolon space 0 less or equal than space 4 space d a n space 0 less or equal than space y space less or equal than space 5 , adalah ...

  1. 25

  2. 26

  3. 29

  4. 31

  5. 34

Jawaban:

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 y less or equal than 6 space semicolon space 0 less or equal than x less or equal than 4 comma space d a n space 0 less or equal than y less or equal than 5 space y a i t u colon  space x plus y less or equal than 6 left right arrow left parenthesis 6 comma 0 right parenthesis d a n left parenthesis 0 comma 6 right parenthesis  space 0 less or equal than x less or equal than 4 comma space d a n space 0 less or equal than y less or equal than 5  space S e p e r t i space p a d a space g a m b a r

space S e l a n j u t n y a comma space c a r i space t i t i k space p o t o n g space p e r s a m a a n space t e r s e b u t comma space  K e t i k a space x equals 4  space x plus y equals 6 rightwards arrow y equals 2 space  T i t i k space p o t o n g space p e r t a m a space a d a l a h space left parenthesis 4 comma 2 right parenthesis space  space K e t i k a space y equals 5 space x plus y equals 6 rightwards arrow x equals 1 space  T i t i k space p o t o n g space k e d u a space a d a l a h space left parenthesis 1 comma 5 right parenthesis space  space K a r e n a space tan d a space l e b i h space k e c i l comma space m a k a space p i l i h space n i l a i space x space d a n space y space y a n g space k e c i l.. space S e h i n g g a space space p e n y e l e s a i a n space space  f left parenthesis x comma y right parenthesis equals 4 x plus 5 y comma space a d a l a h  space f left parenthesis 1 comma 5 right parenthesis equals 4 left parenthesis 1 right parenthesis plus 5 left parenthesis 5 right parenthesis equals 29 space space left parenthesis m a k s i m u m right parenthesis  space f left parenthesis 4 comma 2 right parenthesis equals 4 left parenthesis 4 right parenthesis plus 5 left parenthesis 2 right parenthesis equals 26

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