Description

I’ve uploaded file named “Questions” related to Mathematics consist of Four (4) questions. Solve them all.

*** Attachment has been uploaded named “Questions”.

1 attachmentsSlide 1 of 1attachment_1attachment_1

Unformatted Attachment Preview

Student Name: ______________________Student ID: ________________________

1. Work out the problems in a neat sheet with all the required steps.

2. This Assignment paper contains 4 Questions.

1.

Find the value(s) of x where the tangent line is horizontal to the graph of

.

2. The marketing research department for a company that manufactures and sells “note

book” computers established the following price demand and revenue functions:

p ( x ) = 2,000 − 60 x

R ( x ) = xp( x )

= x (2,000 − 60 x )

A.

B.

C.

D.

E.

Price – demand function

Revenue Function

C( x ) = 4000 + 500 x

Cost function

where p(x ) is the whole sale price in dollars at which x thousand computers can

be sold and R(x) and C (x ) are in thousands of dollars. Both functions have

domain 1 x 25 .

Find the marginal cost.

Find the marginal Revenue at a production level of 15 and interpret the result.

Find the Profit function and marginal profit function.

Find the break-even points.

For what values of x will a loss occur? a profit occur?

3. The total sales S (in thousands of games) for a home video game t months after the

‘

game is introduced are given by S (t ) = 2 t + 10 . Find S (15) and S (15) and use

these results to estimate the total sales after 16 months.

4. The total cost (in dollars) of producing x bicycles is C (x ) = 5000 + 40 x + 0.05x .

Find the

i.

exact cost of 101st bicycle

ii.

Find the marginal cost at a production level of 100 bicycles and interpret the

result.

2

Purchase answer to see full

attachment

Tags:

marginal cost

profit function

price demand function

Graphing Equations

Revenue Functions

marginal profit function

User generated content is uploaded by users for the purposes of learning and should be used following Studypool’s honor code & terms of service.

## Reviews, comments, and love from our customers and community:

This page is having a slideshow that uses Javascript. Your browser either doesn't support Javascript or you have it turned off. To see this page as it is meant to appear please use a Javascript enabled browser.