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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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

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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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im getting 7500 not 2500, double check your working
you should get 0. u still stuck ?
i got 7500, not zero. i put ((-50)^2 + 125(5)) - 25(50) in my calculator to get 7500.
i mean ((-50)^2 + 125(50)) - 25(50)
what you computing is overall profit. in the question they are asking about marginal profit right ?
yeah, it's asking for marginal profit
does that mean, it should be dP/dt = dR/dt - dC/dt ?
exactly.. you are correct. marginal something means, derivative something
okay, i used the original profit function: p(x) -x +125 to get the derivative: p^1(x) = -1 ; so from this function, we know that the marginal profit is zero ? because you cannot plug in 50 for x, because there is no x variable in the derivative?
dP/dt = dR/dt - dC/dt your above equation is right. just take: (derivative of REVENUE) - (derivative of COST) that comes like : d/dx { R(x) } - d/dx { 25x }
25x is you cost function
thank you!

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