Logistics

The Head of the logistics department informed the meeting of the management that the same item is currently not available in sufficient quantity in all three warehouses of the company. We have a total of 135 pieces. It was 37 pieces more in warehouse No 3 than in warehouse No 1. Last week, after inventories, it was necessary to reinforce warehouse No 2; therefore, warehouse No 1 transferred 44 pieces to warehouse No 2. Warehouse No 2 is now an exact number of pieces, as in warehouse No 3.

Examine the feasibility and the resulting truthfulness of the words of the Head of logistics.

Result

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Step-by-step explanation:

a>=44

a+b+c=135
c = 37+a
b + 44 = c

a+b+c = 135
a-c = -37
b-c = -44

Row 2 - Row 1 → Row 2
a+b+c = 135
-b-2c = -172
b-c = -44

Row 3 + Row 2 → Row 3
a+b+c = 135
-b-2c = -172
-3c = -216


c = -216/-3 = 72
b = -172+2c/-1 = -172+2 · 72/-1 = 28
a = 135-b-c = 135-28-72 = 35

a = 35
b = 28
c = 72

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