Sarah's flower shop gets very busy on V-day, but they don't always sell out. Sarah knows that she can sell 50 rose bouquets at a price of $75 each, but she can sell 60 if she drops the price down to $65 each.
(a) find the demand function p(x) .. assume it's linear.
(b) find the revenue function R(x).
(c) find for which value(s) of x the marginal revenue equals to 0
(d) suppose each bouquet costs Sarah $25 to make. find the marginal profit for x = 50. what does this value mean?
I found the demand function : p(x) = -x + 125
And the Revenue function : R(x) = -x^2 + 125x
and found the marginal revnue: x = 125/2 rose bouquets
i don't get how to do part d

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isnt it just
R(50) - 25*50 ?

so it would be 2500 ?

yep if marginal profit is total revenue - cost of making it

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