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You Can Usually Farm 2-4 Tomatoes per Supply Cart.
The supply carts you destroy for this strategy are in the blood hill camps and they drop a variety of cooking and crafting materials. These include tomatoes. In fact, I received tomatoes more than any other item while farming these supply carts. They respawn so fast that you can run to each one in a circle and they will all return by the time you get back to the first one. Watch the video for locations and examples of just how many tomatoes you can get farming this spot.