Materi : SPLDV

Pemisalan :

Unit Protein = ( x )

Unit Lipids = ( y )

kg Beef = ( a )

kg Pork = ( b )

Satuan Dollar

$1 = 1

\_____________/

1 = 900x + 400y

10 = a = 800x + 200y

5 = b = 600x + 400y

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800x¹ + 600x² = 900x [ 8x¹ + 6x² = 9x ]

200y¹ + 400y² = 400y [ y¹ + 2y² = 2y ]

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a = 2b [ harga ]

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1,5a + b = 1 [ Max ]

SPLDV

8x¹ + 6x² = 9x [ x¹ = ( p ) dan x² = ( q ) ]

y¹ + 2y² = 2y [ y¹ = ( p ) dan y² = ( q ) ]

Satuan 9x = ( 9 ) dan 2y = 2

______________________________

8p + 6q = 9

p + 2q = 2 [ p = 2 - 2q ]

______________________________

8( 2 - 2q ) + 6q = 9

16 - 16q + 6q = 9

16q - 6q = 16 - 9

10q = 7

[ q = 7/10 ]

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p = 2 - 2q

p = 2/1 - 2( 7/10 )

p = 10/5 - 7/5

[ p = 3/5 ]

Hasil / Result :

{ p = 3/5 = 60% dan q = 7/10 = 70% }

Perbandingan p : q = 6 : 7

Nilai Protein

60% × Beef = 480x

70% × Lipids = 420x

Nilai Lipids

60% × Beef = 120y

70% × Lipids = 280y

Kesimpulan

60% Beef = 1,5 × 60% = 3/2 × ⅗ = 9/10 = 0,9 kg

70% Lipids = 1 × 70% = 1/1 × 7/10 = 7/10 = 0,7 kg

Biaya = 0,9($10) + 0,7($5) = $9 + $3,5 = $12,5

Semoga bisa membantu