Question
Transportation Problems A total of 5481 boxes of face masks are in stock across 9 branches of a medical product are supplying company, A, B,
Transportation Problems
A total of 5481 boxes of face masks are in stock across 9 branches of a medical product are supplying company, A, B, C, D, E, F, G, H, J, with the number of boxes in stock as shown in Table 4.
Table 4
Branches | A | B | C | D | E | F | G | H | I |
Number of boxes in stock | 234 | 543 | 754 | 877 | 456 | 236 | 876 | 563 | 942 |
In combating the spread of COVID-19, 9 Grocery stores, R, S, T, U, V, W, X, Y, Z, ordered in boxes of face masks from that 9 branches. The number of boxes ordered are as shown in Table 5.
Table 5
Grocery stores | R | S | T | U | V | W | X | Y | Z |
Number of boxes ordered | 500 | 600 | 300 | 700 | 590 | 800 | 300 | 200 | 400 |
The delivery expenses (in $) for each one box of face masks from a branch to a grocery stores are as shown in table 6.
Table 6
| R | S | T | U | V | W | X | Y | Z |
A | 0.14 | 0.2 | 0.32 | 0.32 | 0.54 | 0.44 | 0.55 | 0.340 | 0.65 |
B | 0.35 | 0.32 | 0.21 | 0.19 | 0.51 | 0.33 | 0.32 | 0.45 | 0.54 |
C | 0.16 | 0.14 | 0.11 | 0.16 | 0.48 | 0.21 | 0.22 | 0.54 | 0.2 |
D | 0.23 | 0.18 | 0.22 | 0.14 | 0.43 | 0.34 | 0.16 | 0.56 | 0.1 |
E | 0.45 | 0.23 | 0.33 | 0.16 | 0.19 | 0.4 | 0.11 | 0.65 | 0.4 |
F | 0.67 | 0.76 | 0.4 | 0.3 | 0.21 | 0.32 | 0.34 | 0.32 | 0.55 |
G | 0.56 | 0.87 | 0.67 | 0.22 | 0.11 | 0.19 | 0.5 | 0.1 | 0.56 |
H | 0.76 | 0.65 | 0.7 | 0.6 | 0.17 | 0.14 | 0.3 | 0.06 | 0.43 |
I | 0.77 | 0.88 | 0.99 | 0.65 | 0.23 | 0.17 | 0.21 | 0.08 | 0.32 |
By using [Solver], determine the ways of delivering all the face masks ordered from the 9 branches to the 9 grocery stores, where the total expenses on delivery is minimized. Attach one(1) screenshot from Microsoft Excel/LibreOffice Calc alongside with your answers.
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