2. The manager of a company determines that when q hundred units of a particular commodity are produced, the total cost of production is C thousand dollars, where C2 - 3q3 = 4,275. When 1,500 units are being produced, the level of production is increasing at the rate of 20 units per week. What is the total cost at this time and at what rate is it changing? %3D

2. The manager of a company determines that when q hundred units of a particular commodity are produced, the total cost of production is C thousand dollars, where C2 - 3q3 = 4,275. When 1,500 units are being produced, the level of production is increasing at the rate of 20 units per week. What is the total cost at this time and at what rate is it changing? %3D

Name: 2. The manager of a company determines that when q hundred units of a
Uploaded: 2024-03-20T06:38:58.000Z
Channel: Bartleby
Description: 2. The manager of a company determines that when q hundred units of a particularcommodity are produced, the total cost of production is C thousand dollars, whereC2 - 3q3 = 4,275. When 1,500 units are being produced, the level of production is increa

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: If the price of the product is increased from 3.50 to 4.20 (a 20% increase): (i) Will the revenue…

A: Find your answer below

Q: 2) Compound interest You deposit $1000 in a bank account paying 8% interest. Find how much will be…

Q: At the end of 2011, the number of electric cars registered worldwide was 47,580. By the end of 015,…

A: At the end of 2011, No of electric cars = 47580At the end of 2015, No of electric cars = 547120Rate…

Q: The function f(t) = 85000(.92)' represents the value of your truck after t years. a) Does the…

A: We have to use properties of exponential decay function to solve the question

Q: y = 10+7.5cos(0.507t). How quickly is the tide rising or falling (in meters/hour) at each of the…

Q: Suppose a county's population can be approximated with the function P(t)=34(1.00804)^t where t is…

A: Given t is the number of years since 2000 So, 2000 means t=0 At t=0 So the population of 2000 is…

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: what is the effective annual yield if a deposit of 1000 grows to 2200 in 9 years? round answer to…

A: We know that A = P(1+r)t where A = future value r = interest rate or…

Q: In mid to late March a COVID analyst predict the number of US cases could be modeled by the function…

A: Given: In mid late March a COVID analyst predict the number of US cases could be modeled by the…

Q: In response to rising concerns about identity theft, the number of models of paper shredders a…

A: From the given information, the number of models of paper shredders a company manufactures increased…

Q: In response to rising concerns about identity theft, the number of models of paper shredders a…

A: It is given that the number of models of paper shredders a company manufactures increased…

Q: An investment of $100 is placed into an account that earns interest, compounded annually,at a rate…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function, V(t) = 500(0.82)t Where t is time in years

Concept explainers

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.

Topic Video

Question

100%

2. The manager of a company determines that when q hundred units of a particular
commodity are produced, the total cost of production is C thousand dollars, where
C2 - 3q3 = 4,275. When 1,500 units are being produced, the level of production is increasing at
the rate of 20 units per week. What is the total cost at this time and at what rate is it
changing?
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Sequence$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

a) The cost of first-class postage stamp was 7¢in 1965 and 70¢ in 2010.This increase represents exponential growth. Write the function S for the cost of a stamp t years after 1965 (t=0). b) What was the growth rate in the cost? c) Predict the cost of a first-class postage stamp in 2013, 2016,and 2019. d) The Forever Stamp is always valid as first-class postage on standard envelopes weighing 1 ounce or less, regardless of any subsequent increases in the first-class rate. An advertising firm spent $7000 on 10,000 first-class postage stamps in 2009. Knowing it will need 10,000 first-class stamps in each of the years 2010-2020, it decides at the beginning of 2010 to try to save money by spending $7000 on 10,000 Forever Stamps, but also buying enough of the stamps to cover the years 2011 through 2020. Assuming there is a postage increase in each of the years 2013, 2016, and 2019 to the cost predicted in part (c), how much money will the firm save…
Q6. SR2, 800 is needed for a purchase. The buyer has SR2, 500 and will invest the money at 9% annual interest, compounded monthly. In how many months will the SR2, 500 become SR2, 800? A: 15, B: 19, C: 20, D: None. A=P [1+ (r/m)] m mt
What are two ways to write the increment of work?
A deposit earns interest at a rate of r percent compounded continuously and doubles in value in 10 years. Find r.
.18x+0.22(600,000-x)=.20(600,000)
Suppose that a new employee starts working at $7.66 per hour, and receives a 5% raise each year. After time t, in years, his hourly wage is given by the function P(t) = 57.66(1.05)'. a) Find the amount of time after which he will be earning $10.00 per hour. b) Find the doubling time. After what amount of time will the employee be earning $10.00 per hour? |years (Round to the nearest tenth of a year.) What is the doubling time? years (Round to the nearest tenth of a year.)
9. A car loses value each year. The value of the car t years from today can be modeled using the 1 function (t) = 15,000(0.85). If Elizabeth wants to sell her car in 2- years, what will the car's %3D 3 value be when she sells it?
5&1/2 of 210=
8. The number of carbon atoms in a fossil is given by the function y = 5100(0.95)x, where x represents the number of years since being discovered.What is the percent of change each year? Explain how you arrived at your answer.
An electric transformer is designed to handle 4.3 megavolts, and can handle a 20% overage Starting with the first step on top, order the steps which calculate the largest voltage the transformer can handle without damage. add 4.3 megavolts convert 20% to .20 multiply by 4.3 megavolts
43) If $15,000 is placed into an account that earns 7.5% interest per year, find the total amount in the account after 10 years for the following compound methods. a. Yearly b. Quarterly P=15.000 10x3 15cdo (1+0.075) (16) 15000 (8.5) 127,500 c. Monthly = 12 15000 (146-15/12) d. Continuously 1 A P
5. Emma's parents deposited $5000 into a bank account during her freshman year. The account pays 5% interest compounded continuously using the formula A = Pe", where A is the total amount accrued, P is the principal,ris the annual interest rate, and t is time, in years. Determine, to the nearest dollar, the amount in the account 4 years later. %3D