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N i l ai minim u m d a r i f ( x , y ) = 3 x + 5 y y an g m e m e n u hi sy a r a t 2 x + y ≥ 30 , 15 ≤ x + y ≤ 20 , x ≥ 0 , y ≥ 0 a d a l ah …

  1. 25

  2. 45

  3. 60

  4. 80

  5. 100

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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Pembahasan

B e n t u k space space 15 less or equal than x plus y less or equal than 20 space d a p a t space d i u b a h space k e space d a l a m space b e n t u k space space x plus y greater or equal than 15 space d a n space x plus y less or equal than 20 space S e h i n g g a space p e r m a s a l a h a n space p a d a space s o a l space d a p a t space d i t u l i s space u l a n g space m e n j a d i space colon space M a k s i m a l space colon space f left parenthesis x comma y right parenthesis equals 3 x plus 5 y space D e n g a n space s y a r a t space colon space x plus y less or equal than 20 space space x plus y greater or equal than 15 space 2 x plus y greater or equal than 30 space x greater or equal than 0 space y greater or equal than 0 space A p a b i l a space d i g a m b a r k a n space colon

S e h i n g g a space d i d a p a t space t i t i k space p o j o k space y a n g space d i m a k s u d space a d a l a h space left parenthesis 15 comma 0 right parenthesis comma left parenthesis 0 comma 15 right parenthesis comma left parenthesis 0 comma 20 right parenthesis comma left parenthesis 10 comma 10 right parenthesis space S u b t i t u s i k a n space k e space f left parenthesis x comma y right parenthesis equals 3 x plus 5 y space f left parenthesis 15 comma 0 right parenthesis equals 3 left parenthesis 15 right parenthesis equals 45 space f left parenthesis 0 comma 15 right parenthesis equals 5 left parenthesis 15 right parenthesis equals 75 space f left parenthesis 0 comma 20 right parenthesis equals 5 left parenthesis 20 right parenthesis equals 100 space f left parenthesis 10 comma 10 right parenthesis equals 3 left parenthesis 10 right parenthesis plus 5 left parenthesis 10 right parenthesis equals 80

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