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Seorang pedagang makanan yang menggunakan gerobak ...

Seorang pedagang makanan yang menggunakan gerobak menjual pisang cokat dan pisang goreng. Hraga pembelian untuk pisang coklat Rp1.000,00/biji dan pisang goreng Rp400,00/biji. Modalnya hanya Rp250.000,00 dan muatan gerobak tidak melebihi 400 biji. Jika keuntungan dari pisang coklat Rp500,00 dan pisang goreng Rp300,00/biji, Keuntungan maksimum yang dapat diperoleh  pedah=gang tersebut adalah ...

  1. Rp120.000,00

  2. Rp125.000,00

  3. Rp150.000,00

  4. Rp187.000,00

  5. Rp200.000,00

Jawaban:

Misal

S e h i n g g a space m o d e l space m a t e m a t i k a n y a space y a i t u colon space  1000 x plus 400 y less or equal than 250.000 left right arrow left parenthesis divided by 200 right parenthesis left right arrow 5 x plus 2 y less or equal than 1250 space space space horizontal ellipsis space left parenthesis 1 right parenthesis  space x plus y less or equal than 400 space space space horizontal ellipsis space left parenthesis 2 right parenthesis space  x greater or equal than 0 comma d a n space y greater or equal than 0 space  space C a r i space t i t i k space p o j o k n y a comma space y a i t u colon  space space 5 x plus 2 y less or equal than 1250 space left right arrow left parenthesis 250 comma 0 right parenthesis d a n horizontal strike space left parenthesis 0 comma 625 right parenthesis end strike space  x plus y less or equal than 400 left right arrow horizontal strike left parenthesis 400 comma 0 right parenthesis end strike d a n space left parenthesis 0 comma 400 right parenthesis space  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 m a k a colon  5 x plus 2 y equals 1250 space space open vertical bar x space 1 close vertical bar space 5 x plus 2 y space equals 1250  x plus y equals 400 space space space space space space space space space open vertical bar x space 2 close vertical bar bottom enclose 2 x plus 2 y equals 800 end enclose space space space minus  space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space 3 x equals 450 left right arrow x equals 150  S u b s t i t u s i k a n space n i l a i space x comma space k e space p e r s a m a a n space x plus y equals 400 comma space m a k a space d i p e r o l e h colon space  150 plus y equals 400 left right arrow y equals 250 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 colon space left parenthesis x comma y right parenthesis space equals space left parenthesis 150 comma 250 right parenthesis. space space  K e u n t u n g a n space p i s a n g space c o k l a t space R p 500 divided by b i j i space d a n space p i s a n g space g o r e n g space R p 300 divided by b i j i comma space s e h i n g g a colon  space F left parenthesis x comma y right parenthesis equals 500 x plus 300 y space  F left parenthesis 250 comma 0 right parenthesis equals 500 left parenthesis 250 right parenthesis plus 0 equals 125.000 space  F left parenthesis 0 comma 400 right parenthesis equals 0 plus 300 left parenthesis 400 right parenthesis equals 120.000  space F left parenthesis 150 comma 300 right parenthesis equals 500 left parenthesis 150 right parenthesis plus 300 left parenthesis 250 right parenthesis equals 150.000 space left parenthesis m a k s i m u m right parenthesis space  J a d i comma space k e u n t u n g a n space m a k s i m u m space y a n g space d i p e r o l e h space p e d a g a n g space t e r s e b u t space a d a l a h space R p.150.000 comma 00

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