A greeting card manufacturer has 500 boxes of a particular card in warehouse I and 230 boxes of the same card in warehouse II. A greeting card shop in San Jose orders 350 boxes of the card, and another shop in Memphis orders 200 boxes. The shipping costs per box to these shops from the two warehouses are shown in the table. How many boxes should be shipped to each city from each warehouse to minimize shipping costs? What is the minimum cost? (Hint. Use
x,350-x,y
, and 200 -
y
as the variables.) \table[[,,DESTINATION],[,San Jose,Memphis,],[Warehouse,I,
$0.26
,
$0.25

Question

A greeting card manufacturer has 500 boxes of a particular card in warehouse I and 230 boxes of the same card in warehouse II. A greeting card shop in San Jose orders 350 boxes of the card, and another shop in Memphis orders 200 boxes. The shipping costs per box to these shops from the two warehouses are shown in the table. How many boxes should be shipped to each city from each warehouse to minimize shipping costs? What is the minimum cost? (Hint. Use

x,350-x,y

, and 200 -

y

as the variables.) \table[[,,DESTINATION],[,San Jose,Memphis,],[Warehouse,I,

$0.26

,

$0.25

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