1-The revenue from the sale of a product is, in dollars,
R = 1500x + 3000(4x + 3)−1 − 1000
where x is the number of units sold. Find the marginal revenue when 200 units are sold. (Round your answer to two decimal places.)

Interpret your result.
If the sales go from 200 units sold to
units sold, the revenue will increase by about $

Don't use plagiarized sources. Get Your Custom Essay on
Get an essay WRITTEN FOR YOU, Plagiarism free, and by an EXPERT!
Order Essay

2-The total physical output P of workers is a function of the number of workers, x. The function
P = f(x)
is called the physical productivity function. Suppose that the physical productivity of x construction workers is given by
P = 6(3x + 6)3 − 9.
Find the marginal physical productivity, dP/dx.
dP/dx =

3-Suppose that the revenue (in dollars) from the sale of a product is given by
R = 30x + 0.9×2 − 0.002×3
where x is the number of units sold. How fast is the marginal revenue
changing when
x = 20?

4-The daily cost per unit of producing a product by the Ace Company is 30 + 0.5x dollars and the price on the competitive market is $70.
Find the revenue function, cost function, profit function, and marginal profit function (in dollars).




What is the maximum daily profit the Ace Company can expect on this product?

5-Analysis of daily output of a factory shows that, on average, the number of units per hour y produced after t hours of production is
y = 70t + 0.5t2 − t3, 0 ≤ t ≤ 8.
(a) Find the critical values of this function. (Assume
−∞ < t < ∞.
Enter your answers as a comma-separated list.)
t =

Correct: Your answer is correct.

(b) Which critical values make sense in this particular problem? (Enter your answers as a comma-separated list.)
t =

(c) For which values of t, for 0 ≤ t ≤ 8, is y increasing? (Enter your answer using interval notation.)

6-Suppose that a company’s daily sales volume attributed to an advertising campaign is given by the following equation.
S(t) =
t + 4

(t + 4)2
+ 7
(a) Find how long it will be before sales volume is maximized.
t =

(b) Find how long it will be before the rate of change of sales volume is minimized. That is, find the point of diminishing returns.
t =

7-If the profit function for a product is
P(x) = 1500x + 20×2 − x3 − 12,000
dollars, selling how many items, x, will produce a maximum profit?
x =

Find the maximum profit.

Homework Market
Order a unique copy of this paper
(550 words)

Approximate price: $22

Basic features
  • Free title page and bibliography
  • Unlimited revisions
  • Plagiarism-free guarantee
  • Money-back guarantee
  • 24/7 support
On-demand options
  • Writer’s samples
  • Part-by-part delivery
  • Overnight delivery
  • Copies of used sources
  • Expert Proofreading
Paper format
  • 275 words per page
  • 12 pt Arial/Times New Roman
  • Double line spacing
  • Any citation style (APA, MLA, Chicago/Turabian, Harvard)

Our guarantees

Since all our papers are written from scratch, the papers we submit are plagiarism free and we strictly adhere to lecturer’s instructions. Our writers are highly qualified from all over the world and include graduates and professors from most of the largest and known universities in the world. Once you have assigned us your assignment, we select the most qualified and reliable writer to handle your assignment.

Money-back guarantee

Unlike other writing companies, we encourage clients to draw back their money at any stage of the writing process if they experience any uncertainties with the quality of generated content. However, you will hardly have to make this decision because of our business approach that suits your needs.

Zero-plagiarism guarantee

We have an advanced plagiarism-detection system that flags any work that fails to meet the required academic expectations. Our company thrives in honesty, and as such, you will be guaranteed to achieve a paper that meets your expectations.

Timely delivery of urgent papers

At we have online agents that you can chat with to have your assignment taken care of with the little remaining time. Also, we have professional academic writers who will work on your assignment providing you with a high-quality paper at the same time. We can take care of your urgent assignments in less than 5 hours.

Privacy policy

We uphold confidentiality and privacy through our interactions with clients, an aspect that has enhanced our relationship with prospective customers seeking for assignment help. We do not disclose your information with third-parties; neither do we share your work with any other person apart from you.

We do not offer pre-written essays

We do not resell previously-done tasks delivered to other clients. When we deliver orders to our clients, we safeguard their privacy and confidentiality by ensuring the third party does not access the work. By writing the papers from scratch, we have managed to maintain a certain level of originality, which defines our business model. Our qualified editors proofread all submitted work to eliminate mistakes that can interfere with the credibility of the assignment.

Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
The price is based on these factors:
Academic level
Number of pages