PART II$.$ Short Answer Problems $(10$ points total$)-$ Answer in the space provided. Show your work to receive credit; answers with no supporting calculations will be given no credit. Clearly indicate your answer.

On January $2,2023,$ Worth Co$.$ issued at par $$2,000,000$ of $7\%$ convertible bonds. Each $$1,000$ bond is convertible into $10$ shares of common stock. No bonds were converted during $2023.$ Worth had $200,000$ shares of common stock outstanding during $2023.$ Worth's $2023$ net income was $$900,000$ and the income tax rate was $30\%.$ Thus basic earnings per share is $$4\mathrm{.}50.$

In computing Worth's diluted earnings per share for $2023$ would you include the convertible bonds in the calculation? Meaning are the bonds dilutive? You must support your answer with the appropriate computation.