Expansion path in the theory of production corresponds to

Engel's curve
Price consumption curve
Income consumption curve
Budget constraint

The correct answer is D. Budget constraint.

An expansion path in the theory of production is a curve that shows the maximum output that can be produced for a given level of inputs. It is a graph of the production function, which shows the relationship between inputs and outputs. The budget constraint is a line that shows the combinations of goods and services that a consumer can afford given their income and the prices of goods and services.

Engel’s curve is a graph that shows the relationship between income and the quantity demanded of a good. It is downward-sloping, which means that as income increases, the quantity demanded of a good decreases. This is because as people have more money, they tend to spend a smaller proportion of their income on necessities and a larger proportion on luxuries.

The price consumption curve is a graph that shows the relationship between the price of a good and the quantity demanded of that good. It is upward-sloping, which means that as the price of a good increases, the quantity demanded of that good decreases. This is because as the price of a good increases, consumers have less money to spend on other goods, so they demand less of the good.

The income consumption curve is a graph that shows the relationship between income and the quantity demanded of a good. It is upward-sloping, which means that as income increases, the quantity demanded of a good increases. This is because as people have more money, they can afford to buy more goods.