Aspire Faculty ID #17280 · Topic: CUET UG 2022 Applied Mathematics · Just now
CUET UG 2022 Applied Mathematics

A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each subscriber. He proposes to increase the monthly charges and it is believed that for every increase of Rs. $1$, one subscriber will discontinue the service. The number of subscribers which gives the maximum revenue is:

Solution

From previous question,

Revenue:

$R=(300+x)(500-x)$

Expand:

$R=150000+200x-x^2$

This is a quadratic function:

$R=-x^2+200x+150000$

Maximum occurs at

$x=\frac{-b}{2a}$

Here,

$a=-1,; b=200$

$x=\frac{-200}{2(-1)}$

$x=100$

So number of subscribers:

$500-x=500-100=400$
← Previous Next →

Previous 10 Questions — CUET UG 2022 Applied Mathematics

Nearest first
1
Based on the above information, total revenue $R$ (in Rs.) is given by:
Topic: CUET UG 2022 Applied Mathematics
 2
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each sub…
Topic: CUET UG 2022 Applied Mathematics
 3
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil a…
Topic: CUET UG 2022 Applied Mathematics
 4
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil a…
Topic: CUET UG 2022 Applied Mathematics
 5
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil a…
Topic: CUET UG 2022 Applied Mathematics
 6
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil a…
Topic: CUET UG 2022 Applied Mathematics
 7
Sitaram, a money lender lent a part of Rs. $200000$ to Shyam at simple interest $6%$ p.a. and the remaining to Sushil a…
Topic: CUET UG 2022 Applied Mathematics
 8
Corner points of the feasible region for an LPP are$(0,2),; (3,0),; (6,0)$ and $(6,8)$.If $z=2x+3y$ is the objective fu…
Topic: CUET UG 2022 Applied Mathematics
 9
Below are the stages for Drawing statistical inferences.A. SampleB. PopulationC. Making InferenceD. Data tabulationE. D…
Topic: CUET UG 2022 Applied Mathematics
 10
One of the following is true for relation between sample mean $\bar{x}$ and population mean $\mu$.
Topic: CUET UG 2022 Applied Mathematics

Next 10 Questions — CUET UG 2022 Applied Mathematics

Ascending by ID
1
What is increase in charges per subscriber that yields maximum revenue?
Topic: CUET UG 2022 Applied Mathematics
 2
A cable network provider in a small town has $500$ subscribers and he used to collect Rs. $300$ per month from each sub…
Topic: CUET UG 2022 Applied Mathematics
 3
Match List I with List II List I List II A. $R={(x,y)\mid x \text{ and } y \text{ are students of the sa…
Topic: CUET UG 2022 Applied Mathematics
 4
$\tan^{-1}\left[2\sin\left\{2\cos^{-1}\left(\frac{\sqrt{3}}{2}\right)\right\}\right]$
Topic: CUET UG 2022 Applied Mathematics
 5
Match List I with List II List I List II A. The range of $\sin^{-1}x$ is I. $\left[-\frac{\pi}{2},\…
Topic: CUET UG 2022 Applied Mathematics
 6
If $A=\begin{bmatrix} \cos\alpha & \sin\alpha \\ -\sin\alpha & \cos\alpha \end{bmatrix}$ then:
Topic: CUET UG 2022 Applied Mathematics
 7
If $A=\begin{bmatrix}2 & 1 & 0 \\ 3 & 1 & 2 \\ 0 & 4 & -1\end{bmatrix}$, then $|adj(A)|$ is equal to:
Topic: CUET UG 2022 Applied Mathematics
 8
Identify the correct option(s):A. A modulus function is continuous at every point in its domain.  B. A modulu…
Topic: CUET UG 2022 Applied Mathematics
 9
If $f(x)= \begin{cases} \frac{\sqrt{1-\cos2x}}{x\sqrt2}, & x\ne0 \\ k, & x=0 \end{cases}$ then the value of $k$ will …
Topic: CUET UG 2022 Applied Mathematics
 10
If $y=\log(\sec e^{x^2})$, then $\frac{dy}{dx}=$
Topic: CUET UG 2022 Applied Mathematics
Ask Your Question or Put Your Review.

loading...