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Rylon company produces two types of perfume, namely Brute(B) and

Berikut ini adalah pertanyaan dari irsyadnurrohmapcz6u3 pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

Rylon company produces two types of perfume, namely Brute(B) and Chanelle(C). The materials needed to produce both are purchased at $3 per pound. Processing 1 lb of material requires 1 hour of laboratory work. One pound of ingredients can produce 3 oz of Regular Brute (RB) and 4 oz of Regular Chanelle (RC). The RB can be sold for $7 per oz and the RC can be sold for $6 per oz. Both perfumes can be further processed and produce Luxury Brute (LB) and Luxury Chanelle (LC) with selling prices of $18/oz and $14/oz, respectively. One oz of processed RB requires an additional 3 hours of laboratory work and costs $4 and produces 1 oz of LB. One oz of processed RC requires an additional 2 hours of laboratory work and costs $4 and produces 1 oz of LC. Each year Rylon has a maximum purchasing power of 4000 lb of material and 6000 hours of laboratory work. Formulate PL that can be used to maximize profits. It is assumed that laboratory costs are fixed costs.

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Linear Programming Model

max  7 X1 + 6Y1 + (18-4) X2 + (14-4) Y2 - 3Z

Z = ( X1 + X2)/3

Z = ( Y1 + Y2 )/4

Z ≤ 4000

Z + 3 X2 + 2Y2 ≤ 6000

X1 ≥ 0 , X2 ≥ 0 , Y1 ≥ 0, Y2 ≥ 0 , Z ≥ 0

Penjelasan dengan langkah-langkah:

Decision Variables

X1 amount of Regular Brute sold yearly (ounces)

Y1 amount of Regular Chanelle sold yearly (ounces)

X2 amount of Luxury Brute sold yearly (ounces)

Y2 amount of Luxury Chanelle sold yearly(ounces)

Z amount of raw materials purchased yearly(pounds)

If you choose Decision Variables as:

X1 amount of raw material in Regular Brute (pounds)

Y1 amount of raw material in Regular Chanelle (pounds)

X2 amount of raw material in Luxury Brute (pounds)

Y2 amount of raw material in Luxury Chanelle (pounds)

It is not going to be easy to write the profit. The

problem is with these variables you cannot account for

the fact that 1 pound of raw material jointly produces 3

ounces of regular brute and 4 ounces of regular chanelle.

You implicitly impose a sharing of the raw material which

imposes an incorrect sharing on the profit.

Pelajari lebih lanjut

Pelajari lebih lanjut tentang :

laba maksimum pada yomemimo.com/tugas/19396987

#BelajarBersamaBrainly

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Last Update: Mon, 04 Jul 22
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