Solve the problem.An apple orchard sells apple cider to retailers at the rate of $3.75 per gallon for the first 200 gallons, $3.50 per gallon for the number of gallons purchased between 200 (not included) and 400 (included) gallons, and $3.00 per gallon for the number of gallons purchased in excess of 400.(a) Write a piecewise-defined function P(x) for the purchase price of x gallons purchased.(b) Find 
c(x), 
c(x), and 
c(x).(c) Find c(285).
A. (a) f(x) = 
,
(b) $750, $750, $750
(c) $1047.50
B. (a) f(x) = 
,
(b) $750, $1250, $750
(c) $1547.50
C. (a) f(x) = 
,
(b) $750, $750, $750
(c) $1835
D. (a) f(x) = 
,
(b) $750, $1250, $750
(c) $1866.25
Answer: A
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A. 
B. 
C. 
D. 
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