Answer:
The price will increase to $0.15 or 15 cents.
Explanation:
In a perfect competition the firm operates at the level where it's price is equal to the marginal cost of production.
So, initially the firm will be operating at price level $0.10 but when there is an increase in the marginal cost of production by $0.05 due to increase in sugar prices, the candy cane producing firms will adjust their price accordingly.
So, the price will also increase by the same amount and thus the new price level will be $0.15.