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Nilai  minimum dari f(x,y)=4x+5y yang memenuhi per...

Nilai  minimum dari f(x,y)=4x+5y yang memenuhi pertidaksamaan 2 x equals y greater or equal than 7 comma space x plus y greater or equal than 5 comma x greater or equal than 0 comma space d a n space y greater or equal than 0 space adalah ...

  1. 14

  2. 20

  3. 23

  4. 25

  5. 35

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 2 x plus y greater or equal than 7 space d a n space x plus y greater or equal than 5 comma space y a i t u colon  space K a r e n a space tan d a space l e b i h space b e s a r space s e m u a 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 b e s a r.  2 x plus y space greater or equal than space 7 space left right arrow horizontal strike space left parenthesis 7 over 2 comma 0 right parenthesis space end strike d a n space left parenthesis 0 comma 7 right parenthesis  x plus y greater or equal than space 5 space left right arrow space left parenthesis 5 comma 0 right parenthesis space d a n horizontal strike space left parenthesis 0 comma 5 right parenthesis end strike  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 comma space y a i t u colon space  2 x plus y equals 7 space space space space space  bottom enclose x plus y equals 5 space end enclose minus space  x equals 2 space space S u b s 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 5 comma space m a k a space d i p e r o l e h colon  space 2 plus y equals 5 space left right arrow y equals 3 space  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 t u space left parenthesis 2 comma space 3 right parenthesis space  space N i l a i space m i n i m u m space d a p a t 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 4 x plus 5 y  space left parenthesis 0 comma 7 right parenthesis equals 0 plus 5 left parenthesis 7 right parenthesis equals 35  space left parenthesis 5 comma 0 right parenthesis equals 4 left parenthesis 5 space right parenthesis plus 0 equals 20 space left parenthesis m i n i m u m right parenthesis space  left parenthesis 2 comma 3 right parenthesis equals 4 left parenthesis 2 right parenthesis plus 5 left parenthesis 3 right parenthesis equals 23 space space  J a d i comma space n i l a i space m i n i m u m n y a space a d a l a h space 20

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