Lauren has a margin account and deposits $$35,000$ into it$.$ Assume the prevailing margin requirement is $50$ percent, commissions are ignored, and the Gentry Wine Corporation is selling at $$50$ 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 $$65$ 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 $$35$ 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 $40$ 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: $