Vin Rouge owns two wineries: Winery A can produce up to 300 bottles per day and Winery B can produce up to 200 bottles a day. It supplies wine to three bottle shops: Fig, Bear and Sky. Assume that every 10 bottles are packed into a box. Fig needs at most 20 boxes a day; Bear needs at least 18 boxes a day; and Sky needs only 5 boxes a day. The costs, associated with the delivery of each box of wine from the wineries to the bottle shops, are shown below. All costs are given in dollars. VinRouge FIG Bear Sky 

Winery A 35 62 65

Winery B 28 36 32

Formulate a linear programming (LP) model to determine a minimum cost delivery scheme that satisfies the needs of the bottle shops and that does not exceed the production capacity of the wineries using R CODE to find optimal cost and optimal values of the decision variables