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slega [8]
3 years ago
6

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

n one hour earlier on Saturdays. The report was based on a survey of the first 50 visitors to the library on a recent Saturday. Participants were asked the question, "Do you think the library should open one hour earlier on Saturdays?"
Select all statements that correctly evaluate the report. (select more than 1)

The sample is biased because it does not represent the population.

The question is biased toward a No response.

The sample is not biased.

The question is biased toward a Yes response.

The question is not biased.
Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

1.The sample is biased because it does not represent the population.

2.The question is biased toward a Yes response.

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19. The cost function of a product is C(Q) = 3Q² +8 and the demand function of the same product is P =1/3 Q² — 10Q + 105, where
Kamila [148]

The marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

<h3>What is a marginal cost?</h3>

It is defined as the cost showing an increase in the cost when the number of units produced increases, In simple words it is the ratio of the cost to quantity.

We have a cost function of a product:

C(Q) = 3Q² +8

a) To find the marginal cost to differentiate it with respect to Q and plug

Q = 4:

C'(Q) = 6Q

C'(4) = 6(4) = 24

b) R(Q) = P×Q

\rm R(Q) = (\dfrac{1}{3} Q^2 - 10Q + 105)Q

\rm R(Q) = \dfrac{1}{3} Q^3 - 10Q^2 + 105Q

R'(Q) = Q² - 20Q + 105

Plug Q = 4

R'(Q) = (4)² - 20(4) + 105

R'(Q) = 41

c) Marginal profit:

MP(Q)  = R(Q) - C(Q)

After calculating:

\rm MP(Q)  = \dfrac{1}{3}Q^3-13Q^2+105Q-8

MP'(Q) = Q² - 26Q + 105

Plug Q = 4

MP'(Q) = 16 - 104 + 105 = 17

Similar, we can find the maximum profit.

Thus, the marginal revenue at the output level 4 is 24, marginal revenue at the output level 4 is 41, and marginal profit at the output level 4 is 17.

Learn more about the marginal cost here:

brainly.com/question/7781429

#SPJ1

3 0
1 year ago
Solve the following system of linear equations {2x-7y=10 {5x -6y=2
Sliva [168]

2x-7y=10 = \frac{2}{7}

5x -6y=2 = \frac{5}{6}

5 0
3 years ago
A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t
quester [9]

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

=\tt 2500 - 2245

=\tt 255

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

=\tt 255 =  \frac{x}{100}  \: of \: 2500

= \tt255 =  \frac{x \times 2500}{100}

=\tt 255 =  \frac{2500x}{100}

= \tt255 \times 100  = 2500x

= \tt25500 = 2500x

=\tt  \frac{25000}{2500}  = x

\color{plum} =\tt  \bold{10.2\%}

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

5 0
2 years ago
What is the difference
Advocard [28]

Answer:

what is question of this you asked

3 0
2 years ago
A garden table and bench cost $450. The cost of the table is two times the cost of the bench. What is the cost of the bench?
ipn [44]

Answer:

300 150

Step-by-step explanation:

The price of the garden table is two times the price of the bench. What is the cost of the bench? x=150 for the bench. 2*150=300 for the table.

4 0
2 years ago
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