Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Math Expert


Home >> Math

problem: Suppose a company has fixed costs of $57,600 and variable costs of (1/3) x + 333 dollars per unit, where x is the total number of units produced. Suppose further that the selling price of its product is 2165 – (2/3) x dollars per unit.

(a) Find the break-even points. (Enter your answers as a comma-separated list.) x =?
(b) Find the maximum revenue. (Round your answer to the nearest cent) $ = ? 
(c) Form the profit function, P(x), from the cost and revenue functions. P(x) =?
(d) Find maximum profit. (Round your answer to the nearest cent) $ = ?
(e) What price will maximize the profit? (Round your answer to the nearest cent) $ = ?

problem: The following table shows worldwide sales of cell phones by a certain company and their average wholesale prices in the first quarters of 2009 and 2010.

1517_calculus table.jpg

(a) Use the data to obtain a linear demand function for the company's cell phones. (Let p be the price, and let q be the demand).
q(p) = ?

Use your demand equation to predict sales if the company lowered the price further to $85.

(b) Fill in the blank.

For every $1 increase in price, sales of cell phones decrease by ……….. million units.

problem: The RideEm Bicycles factory can produce 140 bicycles in a day at a total cost of $10,400 and it can produce 160 bicycles in a day at a total cost of $11,100. What are the company's daily fixed costs?  $

What is the marginal cost per bicycle?

problem: In November 2010, a financial service company was offering only 0.4% interest on its online savings accounts, with interest reinvested monthly. In November of which year will an investment of $5,000 made in November of 2010 first exceed $5,200?

problem: A car that was being pursued by the police was at Jones Beach at exactly 9:12 pm (t = 9.2) and passed Oak Beach (15 miles from Jones Beach) at exactly 9:24 pm, where it was overtaken by the police.

(a) How fast was the car traveling?
(b) How far was the car from Jones Beach at time t?

problem: You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 580 log-ons per month. When you lowered the price to $3.50, the demand increased to 870 log-ons per month.

(a) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee x.
(b) Your Internet provider charges you a monthly fee of $50 to maintain your site. Express your monthly profit P as a function of the log-on fee x.

Determine the log-on fee you should charge to obtain the largest possible monthly profit.

What is the largest possible monthly profit?

problem: During the period 1990–2001, U.S. imports of pasta increased from 270 million pounds in 1990 (t = 0) by an average of 40 million pounds/year.

(a) Use these data to express q, the annual U.S. imports of pasta (in millions of pounds), as a linear function of t, the number of years since 1990.
(b) Use your model to estimate U.S. pasta imports in 2006, assuming the import trend continued.

problem: Gymnast Clothing manufactures expensive hockey jerseys for sale to college bookstores in runs of up to 150. Its cost (in dollars) for a run of x hockey jerseys is:

C(x) = 1500 + 10x + 0.2x2    (0 ≤ x ≤ 150)

Gymnast Clothing sells the jerseys at $90 each. Find the revenue function.

Find the profit function.

How many should Gymnast Clothing manufacture to make a profit?

problem: A function is given. Determine the average rate of change of the function between the given values of the variable.

f(x) = 7 − x2;    x = 2, x = 2 + h

problem: A piano manufacturer has a daily fixed cost of $1,600 and a marginal cost of $1,800 per piano. Find the cost C(x) of manufacturing x pianos in one day.

Use your function to answer the following problems.

(a) On a given day, what is the cost of manufacturing 3 pianos?

(b) What is the cost of manufacturing the 3rd piano that day?

(c) What is the cost of manufacturing the 11th piano that day?

(d) What is the variable cost?
What is the fixed cost?
What is the marginal cost?

Math, Academics

  • Category:- Math
  • Reference No.:- M9158

Have any Question? 


Related Questions in Math

Playera system for tracking ships indicates that a ship

Player A system for tracking ships indicates that a ship lies on a path described by 2y^(2)-x^(2)=9. The process is repeated and the ship is found to lie on a path described by 3x^(2)-y^(2)=18 . If it is known that the s ...

The original ershov numbers were used for a machine that

The original Ershov numbers were used for a machine that allowed the right operand of an expression to be in memory, rather than a register. How would you modify the tree-labeling scheme to generate optimal code for this ...

During most of the 20th century the united states was

During most of the 20th Century, the United States was clearly recognized as an innovation leader with an emphasis on technological innovation. Has that changed in the 21st Century? Have other countries begun to overtake ...

Directions be sure to save an electronic copy of your

Directions: Be sure to save an electronic copy of your answer before submitting it to Ashworth College for grading. Unless otherwise stated, answer in complete sentences, and be sure to use correct English, spelling, and ...

How much money should be deposited today in an account that

How much money should be deposited today in an account that earns 8% compounded quarterly so that it will accumulate to $20,000 in six years?

In a 150-300 word post discuss ways leaders and managers

In a 150-300 word post, discuss ways leaders and managers can create a servant leadership mentality in an organization. What are the pros and cons of servant leadership? Resources Textbook: Leading Change in your World T ...

Explain how the electoral college currently works explain

Explain how the Electoral College currently works. Explain the "winner-take-all" system of electoral vote allocation within 48 of 50 states.

Peter a massachusetts resident applied for a loan at three

Peter, a Massachusetts resident, applied for a loan at three banks. Peter's application was denied at the first two banks but finally was approved by the third institution. Peter believes that the first two banks denied ...

A laptop computer is purchased for 1850 after each year the

A laptop computer is purchased for $1850. After each year, the resale value decreases by 25%. What will the resale value be after 5years? Use the calculator provided and round your answer to the nearest dollar.

Explain why cultural intelligence is important for hr

Explain why cultural intelligence is important for HR practitioners and other organizational managers.

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro