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Template Desain Ter... $\newline$ Al tutor $\newline$ Welcome to Bytelearn! $\newline$ Let's check out your problem: $\newline$ Soal $1$ . Terdapat demand dan supply yang tidak seimbang. Hitunglah biaya terkecil transportas $1$ menggunakan penyeimbangan terlebih dahulu. Selanjutnya lakukan langkah metode north west corner. $\newline$ \begin{tabular}{c|c|c|c|c} $\newline$ \hline & D $1$ & D $2$ & D $3$ & Supply \\ $\newline$ \hline S $1$ & $15$ & $5$ & $10$ & $20$ \\ $\newline$ \hline S $2$ & $10$ & $5$ & $10$ & $25$ \\ $\newline$ \hline S $3$ & $20$ & $10$ & $15$ & $30$ \\ $\newline$ \hline Demand & $45$ & $20$ & $35$ & \\ $\newline$ \hline $\newline$ \end{tabular} $\newline$ Soal $1$ . Terdapat demand dan supply yang tidak seimbana.

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Math Problems

Algebra 2

Multiply and divide rational expressions

Full solution

Q. Template Desain Ter...

\newline

Al tutor

\newline

Welcome to Bytelearn!

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Let's check out your problem:

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Soal

1

. Terdapat demand dan supply yang tidak seimbang. Hitunglah biaya terkecil transportas

1

menggunakan penyeimbangan terlebih dahulu. Selanjutnya lakukan langkah metode north west corner.

\newline

\begin{tabular}{c|c|c|c|c}

\newline

\hline & D

1

& D

2

& D

3

& Supply \\

\newline

\hline S

1

15

5

10

20

\newline

\hline S

2

10

5

10

25

\newline

\hline S

3

20

10

15

30

\newline

\hline Demand &

45

20

35

& \\

\newline

\hline

\newline

\end{tabular}

\newline

Soal

1

. Terdapat demand dan supply yang tidak seimbana.

Balance Supply and Demand: Balance the total supply and demand. $\newline$ Calculate total supply and total demand. $\newline$ Total Supply = $20 + 25 + 30 = 75$ . $\newline$ Total Demand = $45 + 20 + 35 = 100$ . $\newline$ Since Total Demand $>$ Total Supply, add a dummy supply $S_4$ to balance. $\newline$ Dummy Supply needed = Total Demand - Total Supply = $100 - 75 = 25$ . $\newline$ Add $S_4$ with supply = $25$ and costs to $D_1$ , $D_2$ , $D_3$ as $45 + 20 + 35 = 100$ $0$ .
Calculate Total Supply and Demand: Apply the North West Corner method. $\newline$ Start filling from the top left corner ( $S_1$ to $D_1$ ). $\newline$ Allocate $\min(20, 45) = 20$ to $S_1D_1$ . Remaining $D_1$ demand = $45 - 20 = 25$ . $\newline$ Move right to $S_1D_2$ , allocate $\min(0, 20) = 0$ to $S_1D_2$ . Remaining $D_2$ demand = $D_1$ $0$ . $\newline$ Move right to $D_1$ $1$ , allocate $D_1$ $2$ to $D_1$ $1$ . Remaining $D_1$ $4$ demand = $D_1$ $5$ . $\newline$ Move down to $D_1$ $6$ , allocate $D_1$ $7$ to $D_1$ $6$ . Remaining $D_1$ demand = $\min(20, 45) = 20$ $0$ . $\newline$ Move right to $\min(20, 45) = 20$ $1$ , allocate $\min(0, 20) = 0$ to $\min(20, 45) = 20$ $1$ . Remaining $D_2$ demand = $D_1$ $0$ . $\newline$ Move right to $\min(20, 45) = 20$ $6$ , allocate $D_1$ $2$ to $\min(20, 45) = 20$ $6$ . Remaining $D_1$ $4$ demand = $D_1$ $5$ . $\newline$ Move down to $S_1D_1$ $1$ , allocate $S_1D_1$ $2$ to $S_1D_1$ $1$ . Remaining $D_1$ demand = $S_1D_1$ $5$ . $\newline$ Move right to $S_1D_1$ $6$ , allocate $S_1D_1$ $7$ to $S_1D_1$ $6$ . Remaining $D_2$ demand = $D_1$ $0$ . $\newline$ Move right to $D_1$ $1$ , allocate $D_1$ $2$ to $D_1$ $1$ . Remaining $D_1$ $4$ demand = $D_1$ $5$ . $\newline$ Move down to $D_1$ $6$ , allocate $S_1D_1$ $2$ to $D_1$ $6$ . Remaining $D_1$ demand = $S_1D_1$ $5$ . $\newline$ Move right to $45 - 20 = 25$ $1$ , allocate $S_1D_1$ $2$ to $45 - 20 = 25$ $1$ . Remaining $D_2$ demand = $S_1D_1$ $5$ . $\newline$ Move right to $45 - 20 = 25$ $6$ , allocate $D_1$ $7$ to $45 - 20 = 25$ $6$ . Remaining $D_1$ $4$ demand = $\min(20, 45) = 20$ $0$ .