For a certain product, cost C and revenue R are given as follows, where x is the number of units sold (in hundreds) Cost C x 100x 50 Revenue 900(x 5) 25R 22,500 (a) Find and interpret the marginal cost dC dx at x 5 (b) Find and interpret the marginal revenue dR dx at x 5 ...

C x 100x 50 a When x 5 the approximate increase in cost ...

For a certain product, cost C and revenue R are given as follows, where x is the

Question:

For a certain product, cost C and revenue R are given as follows, where x is the number of units sold (in hundreds)

Cost: C² = x² + 100√x + 50

Revenue: 900(x - 5)² + 25R² = 22,500

(a) Find and interpret the marginal cost dC/dx at x = 5.
(b) Find and interpret the marginal revenue dR/dx at x = 5.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus With Applications

ISBN: 9780135871348

12th Edition

Authors: Margaret L. Lial

See More Books

Question Posted: Jan 11, 2023 06:27 AM

See More Questions

Cost is in dollars and x is the number of units. Find the marginal cost functions for the given cost functions. 1. C(x) = 40 + 8x 2. C(x) = 200 + 16x 3. C(x) = 500 + 13x + x2 4. C(x) = 300 + 10x +...
The demand function for a certain product is p = 81 - x2 and the supply function is p=x2+4x+11. Find the equilibrium point and the consumer's surplus there. In the following equation p and C are in...
The economics break-even calculation assumes that the number of units sold is the same each year during the life of the project. It is possible for the NPV of a project to be negative if unit sakes...
You bought a share of 3.4 percent preferred stock for $96.82 last year. The market price for your stock is now $98.34. What is your total return for last year?
Buenolorl Company produces a well-known cologne. The standard manufacturing cost of the cologne is described by the following standard cost sheet: Management has decided to investigate only those...
Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the sequence is convergent, guess the value of the limit from the graph and then prove your guess. (See the...
In early 2021, an economist at a financial firm argued, If we want to recover from the pandemic, its not just a matter of getting to where we were back in February [2020] and declaring victory. Why...
CVP analysis, sensitivity analysis Hoot Washington is the newly elected leader of the Republican Party. Media Publishers is negotiating to publish Hoots Manifesto, a new book that promises to be an...
The amount of realized gain to be recognized in a tax year is equal to the gross profit multiplied by the ratio of payments received in the current year divided by the total contract price. ...
A store sells 180,000 cases of a product annually. It costs $12 to store 1 case for 1 year and $20 to place a reorder. Find the number of cases that should be ordered each time.
A recent article described the population (S) of cod in the North Sea next year as a function of this years population S (in thousands of tons) by various mathematical models. where a, b, and c are...
Show how you would accomplish the following conversions in good yields. You may use any necessary reagents. (a) (b) (c) (d) (e) (f) CH, CH,-C-C-CH3 CH3 O CH3 CH Br CH3 CH COOH COOH CH O CH O 0...
How can a company determine the correct value of its fixed assets? According to you, how does the depreciation of fixed assets affect the accounting and finances of a company? In your opinion, what...
What would you recommend Carlsberg do with the company's operations in Russia after Russia's invasion of Ukraine? How would your recommended action(s) impact: (1) Carlsberg's ability to respond to...
The earned value performance baseline consists of one or more control account plans (CAPs). Define a CAP. Then, describe the process through which a project manager develops a CAP, including each of...
A recent paper of mine looks at the relationship between retirement savings at age 30 and student loan debt at age 25. Four observations from the data are below. All numbers are being expressed in...
A data analyst at a manufacturing company records the results of inventory counts. For each inventory item, they indicate whether it is present or not. What data type is being collected in this...
What is the purpose of the performance plan? What role should it play in the successful implementation of a marketing plan?
1A. If the researcher is concerned about the number of variables, the nature of the analysis, and completion rates, then, he/she is at which stage of the sampling design process (Figure 11.1 in the...
Find the following. (7/z 2 ) dz
In Exercises 1940, find each indefinite integral. (5x 1) dx
Find the following. (56t 5/2 + 18t 7/2 )dt
Dr. Klinger has several elderly patients that cannot come to his dental office. Dr. Klinger is researching various local banks for the best certificate of deposit rate to fund a dental van to use to...
The Sales Growth Index (SGI) is calculated as follows: a. prior year sales divided by current year sales b. current year sales divided by prior year sales c. change in receivables divided by current...
Scott's Car Storage rents storage space for customers' cars during the winter months. The service costs $600 per car for the six-month period of October through March, with payment due up-front....

For a certain product, cost C and revenue R are given as follows, where x is the

Question:

Step by Step Answer:

C x 100x 50 a When x 5 the approximate increase in cost ...View the full answer

Calculus With Applications

Students also viewed these Mathematics questions