Recall that profit equals revenue minus cost. For the revenue and cost functions​ shown, answer parts ​(a) through​ (e) below.   ​R(x)equals=400x−2x^2 and ​C(x)equals=200x+4250​, with 0≤x≤100 ​(a) Find the​ break-even point.   The​ break-even point(s)​ is(are) x=?. ​(Type an integer or decimal rounded to one decimal place as needed. Use a comma to separate answers as​ needed.) ​(b) Find the​ x-value that makes profit a maximum.   x=? ​(Type an integer or decimal rounded to one decimal place as​ needed.) ​(c) Find the maximum profit.   The maximum profit is ​$? ​(Type an integer or decimal rounded to one decimal place as​ needed.) ​(d) For what​ x-values will a loss​ occur?   Select the correct choice below and fill in the answer​ box(es) to complete your choice.   ​(Round to one decimal place as​ needed.)   A. x<? or x>?   B. x>?   C. x<?   D. ?<x<? ​(e) For what​ x-values will a profit​ occur?   Select the correct choice below and fill in the answer​ box(es) to complete your choice.   ​(Round to one decimal place as​ needed.)   A. nothingless than<xless than<nothing   B. xless than<nothing   C. xgreater than>nothing   D. xless than<nothing or xgreater than>nothing

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