Find the selling price that will genertate the most profit SHOW ALL WORK

label Calculus
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schedule 1 Day
account_balance_wallet $5

Oct 19th, 2017

Thank you for the opportunity to help you with your question!

let the number of boxes sell be d(x), then e have 

d(x) = c0 -12x 

200 = c0 - 12*19 

c0 = 448

d(x) = 448-12*x

the profit p(x)

p(x) = d(x) (x-3) = (448-12x)(x-3) = (484x-12x^2-1344)

let dp/dx = 484-24x = 0 

 x = 20.17 = 20

the selling price is $20   

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 18th, 2015

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