29. Pots-R-Us obtains its stock of outdoor decorative pots from three suppliers. Each supplier sells pots...

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29. Pots-R-Us obtains its stock of outdoor decorative pots from three suppliers. Each supplier sells pots in four sizes (large, medium, small and tiny) in the percentage quantities and prices given in the following table. Pots are purchased from each supplier in batches of 20. So, for example, each batch of 20 purchased from supplier 1 contains 7 large, 8 medium, 3 small and 2 tiny pots. Supplier Cost Large Medium Small Tiny ($/pot) (%) (%) (%) (%) 1 4 35 40 15 10 2 3 30 25 35 10 3 2 10 10 50 30 Each quarter, Pots-R-Us places and order with each supplier. At least 100 large, 60 medium, 50 small and 40 tiny pots must be purchased each quarter in order to meet demand. Because the supplier facilities have limited production, at most 140 pots can be purchased from any supplier in any quarter. Write and solve an optimization model to answer the following question: How can Pots-R-Us minimize the cost of acquiring the needed pots for one quarter? 29. Pots-R-Us obtains its stock of outdoor decorative pots from three suppliers. Each supplier sells pots in four sizes (large, medium, small and tiny) in the percentage quantities and prices given in the following table. Pots are purchased from each supplier in batches of 20. So, for example, each batch of 20 purchased from supplier 1 contains 7 large, 8 medium, 3 small and 2 tiny pots. Supplier Cost Large Medium Small Tiny ($/pot) (%) (%) (%) (%) 1 4 35 40 15 10 2 3 30 25 35 10 3 2 10 10 50 30 Each quarter, Pots-R-Us places and order with each supplier. At least 100 large, 60 medium, 50 small and 40 tiny pots must be purchased each quarter in order to meet demand. Because the supplier facilities have limited production, at most 140 pots can be purchased from any supplier in any quarter. Write and solve an optimization model to answer the following question: How can Pots-R-Us minimize the cost of acquiring the needed pots for one quarter?