- #1
ver_mathstats
- 260
- 21
- Homework Statement
- When the price of a 400g bag of almonds is p dollars per bag, customers demand x hundred bags of almonds where x^2+4px+p^3=81. At what rate is the demand x changing with respect to time when the price is $4 per bag and decreasing at a rate of 20 cents per month?
- Relevant Equations
- x^2+4px+p^3=81
For this one I did implicit differentiation. Where I then obtained y'=(-2x-4p)/(4x+3p2).
Once I had this I plugged in my values where p is $4 per bag and x is 20 cents.
I plugged in my values y'= (-2(20)-4(4))/(4(20)+3(4)2) =-7/16.
However when I checked this answer it was incorrect and I am unsure of where I am going wrong.
I also tried to do it with -20 substituted since it is decreasing and y'= (-2(-20)-4(4))/(4(-20)+3(4)2) = -0.75, however this was incorrect as well.
I am unsure of where to go from here. Thank you.
Once I had this I plugged in my values where p is $4 per bag and x is 20 cents.
I plugged in my values y'= (-2(20)-4(4))/(4(20)+3(4)2) =-7/16.
However when I checked this answer it was incorrect and I am unsure of where I am going wrong.
I also tried to do it with -20 substituted since it is decreasing and y'= (-2(-20)-4(4))/(4(-20)+3(4)2) = -0.75, however this was incorrect as well.
I am unsure of where to go from here. Thank you.
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