In Hollywood there is only one newspaper, the Hollywood Reporter.
The demand for the paper depends on the price and the amount of
scandal reported. The demand function is Q = 15S负二分之一次方 乘以p负三次方, where Q is
the number of issues sold per day, S is the number of column inches
of scandal reported in the paper, and P is the price. Scandals are
not a scarce commodity in Hollywood. However, it takes resources to
write, edit and print stories of scandal. The cost of reporting S units of
scandal is $10S. This cost is independent of the number of papers sold.
In addition it costs money to print and deliver the paper. These cost
$0.10 per copy and is independent of the amount of scandal reported
in the paper. Therefore the total cost of printing Q copies of the paper
with S column inches of scandal is $10S + 0:10Q:
(a) Calculate the price elasticity of demand for the Hollywood Re-
porter.
(b) Solve for the pro…t-maximising price per newspaper.
(c) If the Hollywood Reporter charges its pro…t-maximising price, and
prints the pro…t-maximising amount of scandal, how many column
inches of scandal should it print (rounded to the nearest integer)?
How many copies will be sold?



主要是第三问不会~谢谢大家帮忙~

中文翻译：
好莱坞只有一家报纸：Hollywood reporter，对于报纸的需求决定于报纸上的流言的数量。需求函数是：Q=15S -2/1 方 乘以 P -3 方   Q代表报纸每天卖出的数量。S指的是流言板在报纸中所占的栏的宽度。P代表价格。流言在好莱坞并不稀缺。S单位的流言的书写加上复印的花费的函数是10S。这个花费和卖出的报纸的花费是相互独立的。另外 ，打印和运送报纸的价格是每份0.1。因此，产出Q份报纸的总花费是  10S+0.1Q
（3）如果Hollywood reporter改变了最大利益的价格，然后产出最大的收益的流言数量，求这种情况下的S和Q？