8. Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given by P = 12x + 6y - .002x² – .01y². Now, say you want to see what would happen if, at your current level of sales (25 lls of peppermint bark and 30 lbs of biscochitos) you added one more pound of peppermint bark. In other words, find the rate of change of sales with respect to peppermint bark when 25 lbs of bark and 30 lbs of biscochitos are sold. Now tell me what that means in the real world using complete sentences.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
icon
Related questions
Topic Video
Question
100%
Need help figuring this out step by step attached is a formula sheet that you can use to follow
8. Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given by
P = 12x + 6y - .002x2 –.01y². Now, say you want to see what would happen if, at your current level
of sales (25 lls of peppermint bark and 30 lbs of biscochitos) you added one more pound of peppermint
bark. In other words, find the rate of change of sales with respect to peppermint bark when 25 lbs of bark
and 30 lbs of biscochitos are sold. Now tell me what that means in the real world using complete
sentences.
Transcribed Image Text:8. Suppose you sell Peppermint Bark and Biscochitos, each by the pound. Your profit function is given by P = 12x + 6y - .002x2 –.01y². Now, say you want to see what would happen if, at your current level of sales (25 lls of peppermint bark and 30 lbs of biscochitos) you added one more pound of peppermint bark. In other words, find the rate of change of sales with respect to peppermint bark when 25 lbs of bark and 30 lbs of biscochitos are sold. Now tell me what that means in the real world using complete sentences.
*TATTOO"CHEAT SHEET - USE OFTEN!
youR
THE BASICS
derv.
PX) MP
CO) MC
RX) MR
X→ fcx)+y (ly CAN BE +,Ø,-)
X f'x) SLOPE(SLOPE CAN BE +,Ø,
integ.
- {0 = MAx OR MIN OR H.P.I.3)
X *f"(x) + CONCAVITY (CONCAVITY IS ,A,Ø { Bis POINT OF INFLECTION})
DERIVATIVES
PRODUCTS AND QUOTIENTS
u isA
FUNCTION,
X IS VAR.,
e AND n y= u y'= u'v -uv'
y=x^
y'= nxn-i
U AND V
youv y'- u'v+uv'
%3D
n-I
y'= nu" (u')
y=e" y'- u'e"
y=Lnu y'= 4 doutdin
y=u^
ARE
FUNCTIONS
CONSTANTS
LOGS AND EXPONENTS
y=a" y'=a"u'ına ) WHERE U
y-a* y = a*x' In a fa is const,
Fa*(1) ina
INTEGRALS
IS A FUNC,
x^dx
+K, n+-I
X IS VARVABLE
ntl
dx → U'
+k, n+-1
Un(e*) =x (SIMPLIFIED, NOT DERIVATI VE )
=X (SIMPUFIED, NOT DERIVATIVE)
y= Ju'e"dr → e" + k
in(MN) = Ln M+ inN
in (A) - LnM -UnN
in (M) = PlnM
y= logax ay =x
WHERE M
» In u +K n=-l
EN ARE
STEPS
FUNCTIONS.
(CONVERSIONS
NOT DERIVATIVĖS
1) MAKE IT PRETTY. WHICH INTEGRAL?
2) FIND U; CREATE U'
3) WE HAVE
4) MAKE IT LOOK LIKE TEMPLATE
5) PERFORM INTEGRAL
WE WANT.
CHANGE OF BASE:
y=loga x
loga
DEFINITE INTEGRALS
log X
In X
%3D
ALSO
Una
y=Jax^dx = afx°dx
Scan"
y= J(ax^+bx") dx
SFondh Fo = Fb) - Fla)
Jfandk=Fx)
%3D
%3D
a
Transcribed Image Text:*TATTOO"CHEAT SHEET - USE OFTEN! youR THE BASICS derv. PX) MP CO) MC RX) MR X→ fcx)+y (ly CAN BE +,Ø,-) X f'x) SLOPE(SLOPE CAN BE +,Ø, integ. - {0 = MAx OR MIN OR H.P.I.3) X *f"(x) + CONCAVITY (CONCAVITY IS ,A,Ø { Bis POINT OF INFLECTION}) DERIVATIVES PRODUCTS AND QUOTIENTS u isA FUNCTION, X IS VAR., e AND n y= u y'= u'v -uv' y=x^ y'= nxn-i U AND V youv y'- u'v+uv' %3D n-I y'= nu" (u') y=e" y'- u'e" y=Lnu y'= 4 doutdin y=u^ ARE FUNCTIONS CONSTANTS LOGS AND EXPONENTS y=a" y'=a"u'ına ) WHERE U y-a* y = a*x' In a fa is const, Fa*(1) ina INTEGRALS IS A FUNC, x^dx +K, n+-I X IS VARVABLE ntl dx → U' +k, n+-1 Un(e*) =x (SIMPLIFIED, NOT DERIVATI VE ) =X (SIMPUFIED, NOT DERIVATIVE) y= Ju'e"dr → e" + k in(MN) = Ln M+ inN in (A) - LnM -UnN in (M) = PlnM y= logax ay =x WHERE M » In u +K n=-l EN ARE STEPS FUNCTIONS. (CONVERSIONS NOT DERIVATIVĖS 1) MAKE IT PRETTY. WHICH INTEGRAL? 2) FIND U; CREATE U' 3) WE HAVE 4) MAKE IT LOOK LIKE TEMPLATE 5) PERFORM INTEGRAL WE WANT. CHANGE OF BASE: y=loga x loga DEFINITE INTEGRALS log X In X %3D ALSO Una y=Jax^dx = afx°dx Scan" y= J(ax^+bx") dx SFondh Fo = Fb) - Fla) Jfandk=Fx) %3D %3D a
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Quadrilaterals
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax