9514 1404 393
Answer:
- {20, 20, 20, 40} units to {A, B, C, D}
- {0, 0, 0, 100}
minimum shipping cost: 3000
Step-by-step explanation:
In general, shipping costs more from Plant 1. The excess costs to ship to customers A, B, C, D are, respectively, (24-18) = 6, (21-16) = 5, (19-19) = 0, (18-10) = 8.
The greatest excess cost is for shipping to customer D from plant 1, so we want to ship as many units as possible to customer D from plant 2.
Shipments from Plant 2 to Customers {A, B, C, D} = {0, 0, 0, 100}.
Then the remaining shipments are fulfilled from Plant 1.
Shipments from Plant 1 to Customers {A, B, C, D} = {20, 20, 20, 40}.
The amount spent on shipping each day is ...
100×10 +20×24 +20×21 +20×19 +40×18
= 20×(50 +24 +21 +19 +36) = 3000 . . . . daily shipping cost
