(c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where 3p? – x² = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month? (d) MANUFACTURING At a certain factory, output Q is related to inputs x and y by the equation Q = 2r° + 3x*y² + (1 + y)². If the current levels of input are x = 30 and y = 20, use calculus to estimate the change in input y that should be made to offset a decrease of 0.8 unit in input x so that output will be maintained at its current level.
(c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is willing to supply x hundred units, where 3p? – x² = 12. How fast is the supply changing when the price is $4 per unit and is increasing at the rate of 87 cents per month? (d) MANUFACTURING At a certain factory, output Q is related to inputs x and y by the equation Q = 2r° + 3x*y² + (1 + y)². If the current levels of input are x = 30 and y = 20, use calculus to estimate the change in input y that should be made to offset a decrease of 0.8 unit in input x so that output will be maintained at its current level.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
d & e
Transcribed Image Text:(c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the
manufacturer is willing to supply x hundred units, where
3p? – x² = 12.
How fast is the supply changing when the price is $4 per unit and is increasing at
the rate of 87 cents per month?
(d) MANUFACTURING At a certain factory, output Q is related to inputs x and y by
the equation
Q = 2r° + 3x*y? + (1+y)².
If the current levels of input are x = 30 and y = 20, use calculus to estimate the
change in input y that should be made to offset a decrease of 0.8 unit in input x so
that output will be maintained at its current level.
![• For each item in this problem set, you will use the formula 1+ [(x+y) mod z),
and the variables are specified therein. The result using the formula per item will
correspond to the sub-item you will work on. Here, x is the number using letters
of the Filipino Alphabet where there are 28 of them; y comes your Student Number;
and z is the number of the sub-items therein. Moreover, a mod b is the remainder by
dividing a by b. Example: K is the 11th letter in the alphabet so x= 11 and suppose
y = 3, 2- 5. Hence,
1+ [(x+y) mod z] =1+[(11+3) mod 5]
= 1+[14 mod 5]
= 1+4
Therefore you solve the 5th sub-item, ie., (e).
• Before you start writing or presenting your solution, be able to provide the values for
X, y,z and computation using the formula above. This will be part of the assessment.
Note your work will have no credit if
- the computation using the formula is incorrect;
- the set of values being asked is incorrect; or
you forget to put it.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec38d1d7-6efe-451c-a5a0-ba7bbfd3a7b6%2F94b4150b-c382-4485-bb1a-6a3709cb980a%2Fr63wz4_processed.png&w=3840&q=75)
Transcribed Image Text:• For each item in this problem set, you will use the formula 1+ [(x+y) mod z),
and the variables are specified therein. The result using the formula per item will
correspond to the sub-item you will work on. Here, x is the number using letters
of the Filipino Alphabet where there are 28 of them; y comes your Student Number;
and z is the number of the sub-items therein. Moreover, a mod b is the remainder by
dividing a by b. Example: K is the 11th letter in the alphabet so x= 11 and suppose
y = 3, 2- 5. Hence,
1+ [(x+y) mod z] =1+[(11+3) mod 5]
= 1+[14 mod 5]
= 1+4
Therefore you solve the 5th sub-item, ie., (e).
• Before you start writing or presenting your solution, be able to provide the values for
X, y,z and computation using the formula above. This will be part of the assessment.
Note your work will have no credit if
- the computation using the formula is incorrect;
- the set of values being asked is incorrect; or
you forget to put it.
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