The correct answer is option 2, Mushroom.

Option 1, Algae, is capable of manufacturing its own food through a process called photosynthesis. Algae contains chlorophyll, which helps it convert sunlight into energy.

Option 3, Carrot, is also capable of manufacturing its own food. Carrots are root vegetables that have the ability to absorb water and nutrients from the soil through their roots. They undergo a process called photosynthesis as well to produce their own food.

Option 4, Cabbage, is also capable of manufacturing its own food. Cabbage is a leafy green vegetable that contains chlorophyll and undergoes photosynthesis to produce its own food.

However, option 2, Mushroom, is not capable of manufacturing its own food. Mushrooms are actually a type of fungus. Fungi do not contain chlorophyll and therefore cannot carry out photosynthesis. Instead, mushrooms obtain nutrients by decomposing organic matter. They break down dead organisms or organic materials and absorb the nutrients from them.