eBook Problem $3-02$ Lauren has a margin account and deposits $$30,000$ into it$.$ Assume the prevailing margin requirement is $40$ percent, commissions are ignored, and the Gentry Wine Corporation is selling at $$25$ per share. How many shares can Lauren purchase using the maximum allowable margin? Round your answer down to the nearest whole share, if necessary. Lauren can purchase$$shares$.$ What is Lauren$$s profit $($loss$)$ if the price of Gentry$$s stock rises to $$40$ and Lauren sells the stock? Use a minus sign to enter loss, if any. Round your answer to the nearest dollar. Use the rounded value of the number of shares from part a$.$ Profit$/$loss:$$$$$ falls to $$10$ and Lauren sells the stock? Use a minus sign to enter loss, if any. Round your answer to the nearest dollar. Use the rounded value of the number of shares from part a$.$ Profit$/$loss:$$$$$ If the maintenance margin is $30$ percent, to what price can Gentry Wine fall before Lauren will receive a margin call? Round your answer to the nearest cent. Use the rounded value of the number of shares from part a$.$ Price: $$$ Lauren has a margin account and deposits $\backslash (\backslash$$ $30,000\backslash )$ into it$.$ Assume the prevailing margin requirement is $40$ percent, commissions are ignored, and the Gentry Wine Corporation is selling at $\backslash (\backslash$$ $25\backslash )$ per share.

a$.$ How many shares can Lauren purchase using the maximum allowable margin? Round your answer down to the nearest whole share, if necessary. Lauren can purchase shares.

b$.$ What is Lauren's profit $($loss$)$ if the price of Gentry's stock

i$.$ rises to $\backslash (\backslash$$ $40\backslash )$ and Lauren sells the stock? Use a minus sign to enter loss, if any. Round your answer to the nearest dollar. Use the rounded value of the number of shares from part a$.$

Profit$/$loss: $\backslash$$

ii$.$ falls to $\backslash (\backslash$$ $10\backslash )$ and Lauren sells the stock? Use a minus sign to enter loss, if any. Round your answer to the nearest dollar. Use the rounded value of the number of shares from part a$.$

Profit$/$loss: $\backslash$$

c$.$ If the maintenance margin is $30$ percent, to what price can Gentry Wine fall before Lauren will receive a margin call? Round your answer to the nearest cent. Use the rounded value of the number of shares from part a$.$

Price: $\backslash$$