The National Parks Service is receiving four bids for logging at three pine forests in Arkansas. The three locations include 10,000, 20,000, and 30,000 acres. A single bidder can bid for at most 50% of the total acreage available. The bids per acre at the three locations are given in Table 5.32. Bidder 2 does not wish to bid on location 1, and bidder 3 cannot bid on location 2.

(a) In the present situation, it is necessary to maximize the total bidding revenue for the Parks Service. Show how the problem can be formulated as a transportation model.

(b) Determine the acreage that should be assigned to each of the four bidders.

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TABLE 5.32 Bids per Acre for Problem 5-21 Location 2 $210 $510 Bidder 1 2 3 4 لنا 1 $520 $650 $180 $430 3 $570 $495 $240 $710