Cooperton Mining just announced it will cut its dividend from $ $4\mathrm{.}13$ to $ $2\mathrm{.}36$ per share and use the extra funds to expand. Prior to the$$ announcement, Cooperton's dividends were expected to grow at a $3\mathrm{.}3\%$rate$,$ and its share price was $ $48\mathrm{.}19.$ With the planned$$ expansion, Cooperton's dividends are expected to grow at a $4\mathrm{.}8\%$ rate. What share price would you expect after the$$ announcement? $($Assume that the new expansion does not change$$ Cooperton's risk.$)$ Is the expansion a good$$ investment?