Answer:
The producers are those organisms that can produce their own food by the process of photosynthesis, typically these are plants. The other organisms of the ecosystem are dependent on plants for food requirements. The primary consumers like herbivores directly consume the plants, whereas the decomposers like fungi, soil bacteria, and other microbes degrade and decompose the dead plant matter to obtain energy. Thus both consumers and decomposers are dependent on producers for food and energy. If the consumers and decomposers die the plants will survive.
Based on the above description, the given statement is false.