Economics · Theory of Supply

Consider the following factors that influence the supply schedule of a product: I. A technological improvement that lowers the cost of production per unit will cause an outward (rightward) shift in the Supply Curve. II. A sharp increase in the corporate tax rate is a non-price determinant that tends to decrease supply (inward shift) due to reduced profitability. III. The Law of Supply states that, ceteris paribus, as the price of a good increases, the quantity supplied will decrease. Which of the above statements is/are correct?