You have $$350,000$ to invest and have decided to put $40\%$ in Alpha stock currently valued at $$40$ per share, $25\%$ in beta stock currently valued at $$43\mathrm{.}75$ and $35\%$ in Delta stock valued at $$61\mathrm{.}25$ per share. If both Alpha and Beta increase by $$2$ per share and Delta increases by $$1$ per share then what is the new value of the portfolio