**Cost of Emission Control Analysis**The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:\[ C(q) = 1,700 + 196q^2 \]- **Where:** - $ q $ is the reduction in emissions (in pounds of pollutant per day). - $ C $ is the daily cost to the firm (in dollars) of this reduction.**Objective:**Determine the level of reduction that corresponds to the lowest average cost per pound of pollutant. Round your answer to two decimal places.1. **Calculate the reduction level for the lowest average cost:** - Provide the analysis and formula used.2. **Result:** - What would be the resulting average cost to the nearest dollar? - $ \text{Answer: } \$ \ \_\_\_ \text{ per pound} $Ensure the use of calculations and logical steps to find the solution efficiently. This model demonstrates the increasing cost trend and encourages optimization of the reduction process for maximum economic benefits.

Name: **Cost of Emission Control Analysis**The cost of controlling emission
Uploaded: 2024-03-20T07:07:26.000Z
Channel: Bartleby
Description: **Cost of Emission Control Analysis**The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:\[ C(q) = 1,700 + 196q^2 \]- **Where:** - $ q $ is the reduction in emissions (i

Given The daily cost function is C(q)=17,000+198q2

Math

Calculus

The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(a) = 1,700 + 198q2 where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowes average cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant per day What would be the resulting average cost to the nearest dollar? 24 per pound

The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model: C(a) = 1,700 + 198q2 where q is the reduction in emissions (in pounds of pollutant per day) and C is the daily cost to the firm (in dollars) of this reduction. What level of reduction corresponds to the lowes average cost per pound of pollutant? (Round your answer to two decimal places.) pounds of pollutant per day What would be the resulting average cost to the nearest dollar? 24 per pound

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: Steve decides to invest his $12000 in the sharemarket. He think that he has some talent in…

Q: (b) Find a linear model for the relation between boiling point B, and elevation H. (c) Use the model…

Q: Sketch the graph of: (5.1) у- cot ( 2x - (5.2) у %3D 3 seес ( х + 6.

A: Topic-curve of function

Q: (b) Use the table feature of the graphing utility to create a table of values for the same time…

A: States for the years 2025 through 2055 can be modeled by P = 307.58e0.0052t, where P is the…

Q: The rate of growth of the bacterial population is proportional to the number of bacteria present at…

A: Introduction: Differential Equation applications are useful in both the classroom and in real life.…

Q: graph the points A to D. A. f(x)=2x B. h(x)+(0.8)x C. g(x)=(1/4)x D. f(x)=(3/2)x

A: we know that graph of y=ax is similar as graph of y=ex, if a>1 so, we can graph of y=2x as below

Q: The following equation represents the relationship between hours of TV watched per day (x) and the…

A: Given dataŷ = -0.944x + 24.52x is the hours of TV watched per dayŷ is the number of situpspredicting…

Q: An experimental drug was injected into the bloodstream of a rat. The concentration C(t) of the drug…

Q: Starting with the graph of f(x) = 6², write the equation of the graph that results from a. shifting…

A: Given: f(x) = 6x

Q: Having completed your first few tasks, you move now to a portion of the lab where important bacteria…

A: Given: To Find: To determine the bacteria population after 5 days.

Topic Video

Question

**Cost of Emission Control Analysis**

The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced increases. Here is a possible model:

\[ C(q) = 1,700 + 196q^2 \]

- **Where:**
- $ q $ is the reduction in emissions (in pounds of pollutant per day).
- $ C $ is the daily cost to the firm (in dollars) of this reduction.

**Objective:**

Determine the level of reduction that corresponds to the lowest average cost per pound of pollutant. Round your answer to two decimal places.

1. **Calculate the reduction level for the lowest average cost:**
- Provide the analysis and formula used.

2. **Result:**
- What would be the resulting average cost to the nearest dollar?
- $ \text{Answer: } \$ \ \_\_\_ \text{ per pound} $

Ensure the use of calculations and logical steps to find the solution efficiently. This model demonstrates the increasing cost trend and encourages optimization of the reduction process for maximum economic benefits.

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Optimization$

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

The biologist has a second culture to examine. She knows that the population of the culture doubles every 15 minutes. After 1 hour and 15 minutes, her assistant found that 80,000 bacteria were present. 2. (a) What was the size of the initial population? Predict the size of the culture at t=3 hours. What was the size of the population at 40 minutes? Explain and justify your answers. (b) Create a graph of the population as a function of time. Find an equation that can be used to predict the size of the population at any time t. (c) Examine the rate at which the bacteria culture is growing. How fast growing after 1 hour? After 1.5 hours? After 2 hours? Use a time interval of h = 0.01 hours to estimate these rates. Interpret these rates in terms of the context of the problem situation. How do these three rates compare? (d) the culture
Suppose that P dollars in principal is invested in an account earning 3.4% interest compounded continuously. At the end of 5 yr, the amount in the account has earned $1760.40 in interest. Part: 0 / 2 Part 1 of 2 (a) Find the original principal. Round to the nearest dollar. (Hint: Use the model A = Pert and substitute P+1760.40 for A.) The original principal was approximately 9500 X Part: 1 / 2 Part 2 of 2 (b) Using the original principal from part (a) and the model A = Pet, determine the time required for the investment to reach $11,500. Round to 1 decimal place. Using the original principal from part (a) and the model A = Pe, it will take the investment approximately yr to reach $11,500.
A radioactive material decays at a rate which is proportional to the amount of radioactivity remaining. If the amount of radioactivity remaining is denoted by N at the time t, form an equation which represents this statement. If the half-life (the time taken for half the radioactivity to decay) is 10 years, how long will it take for ¾ of the radioactivity to decay?
Please help me with this question.
Consider the equation from a previous homework: INCOME = -1.5 + 1.2*AGE + ε Suppose income wasn't expressed in thousands of dollars but just in dollars. What would the coefficient for AGE be?
Starting with the graph of f(x) = 9, write the equation of the graph that results from a. shifting f(x) 6 units downward. y = b. reflecting f(x) about the y-axis. Y = c. shifting f(x) 3 units right. Y =