Red’s Roofing buys asphalt roofing tiles from Shingles, Inc. The parties agree that the tile will be shipped "F.O.B. Shingles’s
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Answer:
Explanation:
From the given information:
Assuming we represent x to be the tablets sent from Brooklyn to Manhattan
Thus, (500 - x) to be the tablets sent from Baldwin to Manhattan
Also, suppose we represent y to be the tablets sent from Brooklyn to Amityville
It implies that (400 - x) to be the tablets sent from Baldwin to Amityville
∴
x ≥ 0 ; y ≥ 0
⇒ 500 - x ≥ 0 & 400 - y ≥ 0
The Shipping cost Z = 1(x) + 2(500-x) + 2(y) + 4(400-y)
Z = x + 1000 - 2x + 2y + 1600 - 4y
Z = x -2y + 2600
To minimize the shipping cost:
Thus, by replacing the coordinate values (x,y) into Z, we have:
Point Coordinates(x,y) Value of Z (shipping cost)
0 (0,0) 0
A (0,400) 1800
B (500,400) 1300
C (500,0) 2100
Hence, the minimum cost is 1300.
x = 500 units and y = 400 units