Inequality Question Help?

enter image source here

1 Answer

See below:

Explanation:

Cesareo R. answered this a couple of months ago in the comments section, but this came up again so I thought I'd do a quick table to show in more detail how his solution works.

The shipping costs are:

#(("","Company A","Company B"),("West warehouse",$0.40,$0.55),("East warehouse",$0.50,$0.60))#

Clearly, the cheapest shipping is from the West warehouse to Company A. Company A needs 50 sheets and West has 45 sheets in stock:

#45xx$0.40=$18.00#

West is now out of stock and so all remaining deliveries will come from East. Five sheets get sent to Company A:

#5xx$0.50=$2.50#

and seventy sheets to Company B:

#70xx$0.60=$42.00#

Total is #18+2.50+42=$62.50#

If we try shipping from West (45 sheets) to B (70 sheets) first, we end up with:

#45xx$0.55=$24.75#

then the remainder from East:

#25xx$0.60=$15.00#

then the order to Company A from East:

#50xx$0.50=$25.00#

for a total of:

#24.75+15+25=$64.75#