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Harga bawang merah Rp 25.000,00 per kg dan harga bawang putih Rp 50.000,00 per kg. Seorang pedangan hanya mempunyai modal Rp 20.000.000,00 dan kiosnnya hanya dapat memuat tidak lebih dari 600 kg dengan keuntungan bawang merah Rp 5.000,00 per kg dan bawang putih Rp 9.000,00 per kg, keuntungan maksimum yang diperoleh pedangan tersebut adalah ....


  1. Rp5.400.000,00

  2. Rp4.000.000,00

  3. Rp3.800.000,00

  4. Rp3.600.000,00

  5. Rp3.000.000,00

Y. Laksmi

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

bold italic L bold italic a bold italic n bold italic g bold italic k bold italic a bold italic h bold space bold italic p bold italic e bold italic r bold italic t bold italic a bold italic m bold italic a bold space bold colon bold space bold italic B bold italic u bold italic a bold italic t bold space bold italic m bold italic o bold italic d bold italic e bold italic l bold space bold italic m bold italic a bold italic t bold italic e bold italic m bold italic a bold italic t bold italic i bold italic k bold italic a bold italic n bold italic y bold italic a bold space bold italic t bold italic e bold italic r bold italic l bold italic e bold italic b bold italic i bold italic h bold space bold italic d bold italic a bold italic h bold italic u bold italic l bold italic u bold space  P e r h a t i k a n space b a h w a space i n f o r m a s i space d i a t a s space d a p a t space d i s a j i k a n space d a l a m space t a b e l space s e b a g a i space b e r i k u t


bold italic L bold italic a bold italic n bold italic g bold italic k bold italic a bold italic h bold space bold italic k bold italic e bold italic d bold italic u bold italic a bold space bold colon bold space bold italic G bold italic a bold italic m bold italic b bold italic a bold italic r bold italic l bold italic a bold italic h bold space bold italic d bold italic a bold italic e bold italic r bold italic a bold italic h bold space bold italic h bold italic i bold italic m bold italic p bold italic u bold italic n bold italic a bold italic n bold space bold italic p bold italic e bold italic n bold italic y bold italic e bold italic l bold italic e bold italic s bold italic a bold italic i bold italic a bold italic n  D a e r a h space p e n y e l e s a i a n space u n t u k space x plus y less or equal than 600 space a d a l a h

D a e r a h space p e n y e l e s a i a n space u n t u k space 25.000 x plus 50.000 y less or equal than 20.000.000 space space a d a l a h

 
U n t u k space x greater or equal than 0 space d a n space y greater or equal than 0 space a r t i n y a space d a e r a h space b e r a d a space d i space k u a d r a n space I space  S e h i n g g a space d a r i space s i s t e m space p e r t i d a k s a m a a n space t e r s e b u t space d i d a p a t space d a e r a h space p e n y e l e s a i a n


bold italic L bold italic a bold italic n bold italic g bold italic k bold italic a bold italic h bold space bold italic k bold italic e bold italic t bold italic i bold italic g bold italic a bold space bold colon bold thin space bold italic T bold italic e bold italic n bold italic t bold italic u bold italic k bold italic a bold italic n bold space bold italic t bold italic i bold italic t bold italic i bold italic k bold minus bold italic t bold italic i bold italic t bold italic i bold italic k bold space bold italic e bold italic k bold italic s bold italic t bold italic r bold italic i bold italic m bold divided by bold italic t bold italic i bold italic t bold italic i bold italic k bold minus bold italic t bold italic i bold italic t bold italic i bold italic k bold space bold italic p bold italic o bold italic j bold italic o bold italic k  D a r i space d a e r a h space h i m p u n a n space p e n y e l e s a i a n comma space d i d a p a t space e m p a t space k a n d i d a t space t i t i k space e k s t r i m

Titik space straight A space dan space straight C space dapat space dengan space mudah space diketahui comma space yaitu space straight A left parenthesis 0 comma 400 right parenthesis space dan space straight C left parenthesis 600 comma 0 right parenthesis space  Sedangkan space titik space straight D space yang space merupakan space titik space potong space kedua space garis space colon

x plus y equals 600 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 open vertical bar space space space space space x 1 space space space space space space space close vertical bar space space space space x plus y space equals space 600  25.000 x plus 50.000 y equals 20.000.000 space open vertical bar divided by 25.000 close vertical bar space space space space x plus 2 y space equals 800 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 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 top enclose space space space space space space space space minus y equals negative 200  space space space space space space space space space space space space y equals 200 space space space end enclosex plus y equals 600 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 open vertical bar space space space space space x 1 space space space space space space space close vertical bar space space space space x plus y space equals space 600  25.000 x plus 50.000 y equals 20.000.000 space open vertical bar divided by 25.000 close vertical bar space space space space x plus 2 y space equals 800 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 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 top enclose space space space space space space space space minus y equals negative 200  space space space space space space space space space space space space y equals 200 space space space end enclose
S u b s t i t u s i space space y equals 200 space k e space p e r s a m a a n space p e r t a m a comma space d i d a p a t space  x plus y equals 600 space  x plus 200 equals 600 space space  x equals 400    J a d i space D left parenthesis 400 comma 200 right parenthesis


bold italic L bold italic a bold italic n bold italic g bold italic k bold italic a bold italic h bold space bold italic k bold italic e bold italic e bold italic m bold italic p bold italic a bold italic t bold space bold colon bold thin space bold italic M bold italic a bold italic s bold italic u bold italic k bold italic k bold italic a bold italic n bold space bold italic k bold italic a bold italic n bold italic d bold italic i bold italic d bold italic a bold italic t bold space bold italic t bold italic i bold italic t bold italic i bold italic k bold minus bold italic t bold italic i bold italic t bold italic i bold italic k bold space bold italic e bold italic k bold italic s bold italic t bold italic r bold italic i bold italic m bold space bold italic k bold italic e bold italic d bold italic a bold italic l bold italic a bold italic m bold space bold italic f bold italic u bold italic n bold italic g bold italic s bold italic i bold space bold italic o bold italic b bold italic j bold italic e bold italic k bold italic t bold italic i bold italic f bold space bold italic f bold left parenthesis bold italic x bold comma bold italic y bold right parenthesis bold equals bold 5 bold. bold 000 bold italic x bold plus bold 9 bold. bold 000 bold italic y  f left parenthesis 0 comma 400 right parenthesis equals 5.000 left parenthesis 0 right parenthesis plus 9.000 left parenthesis 400 right parenthesis equals 3.600.000 space  f left parenthesis 250 comma 0 right parenthesis equals 5.000 left parenthesis 600 right parenthesis plus 9.000 left parenthesis 0 right parenthesis equals 3.000.000 space  f left parenthesis 400 comma 200 right parenthesis equals 5.000 left parenthesis 400 right parenthesis plus 9.000 left parenthesis 200 right parenthesis equals 3.800.000    Jadi space nilai space maksimum space fungsi space tersebut space adalah space Rp 3.800.000 comma 00
 

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