Answer:
Duffin House
The lowest total shipping cost for which Duffin House can fill the orders is:
= $16,000.
Explanation:
a) Data and Calculations:
Orders received from OHaganBooks, Texas = 500 packages
Orders received from FantasyBooks, California = 150 packages
No. of packages in stock at New York Warehouse = 500
No. of packages in stock at Illinois Warehouse = 250
Shipping cost:
New York to Texas: $20;
New York to California: $50;
Illinois to Texas: $30;
Illinois to California: $40
Lowest shipping cost arrangement:
500 packages from New York to Texas at $20 = $10,000
150 packages from Illinois to California at $40 = $6,000
Total shipping cost = $16,000
Other shipping cost arrangement:
150 packages from New York to California at $50 = $7,500
350 packages from New York to Texas at $20 = $7,000
150 packages from Illinois to Texas at $30 = $4,500
Total shipping cost under this arrangement = $19,000
b) The key in making this shipping arrangement is to identify the lowest shipping cost per package. The order that attracts this shipping cost is taken first. Then identify the next lowest shipping cost that is feasible and have the order fulfilled accordingly.
