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A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and another 1000 boxes at its second factory.The manufacturer has orders

A plastic manufacturer has 1200 boxes of transparent wrap in stock at one factory and another 1000 boxes at its second factory.The manufacturer has orders for this product from three different retailers, in quantities of 1000, 700 and 500 boxes, respectively. The unit shipping cost (in cents per box) from the factories to the retailers are as follows:

Table 1

 
Retailer 1
Retailer2
Retailer3
Factory 1

14

13

11

Factory 2


12

Determine a minimum-cost shipping schedule for satisfying all demands from current inventory. Formulate the linear programming.

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