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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

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

25x is you cost function

thank you!