1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
3 years ago
14

A certain production process requires only two types of inputs — capital and labor. In 2006, 100 units of labor and 50 units of

capital were employed, and 100 units of output were produced. In 2013, 112 units of labor and 56 units of capital were employed. If the production process displays constant returns to scale, then how many units of output were produced in 2013?
Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

112 units of output

Step-by-step explanation:

Constant returns to scale means that an increase in inputs (capital and labor) cause the same proportional increase in output. From 2006 to 2013 labor grows from 100 to 112, in percentage that is 100*(112 -100)/100 = 12%. Capital grows from 50 to 56, in percentage that is 100*(56 -50)/50 = 12%. In consequence, output had to grow from 100 to 112, so that, an increment of 12% was made.

You might be interested in
10) A new car is available in a sedan model and
Dafna11 [192]

Answer:

Option (C) n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

Step-by-step explanation:

A new car is available in a sedan model and a hatchback model.

So that means customers can select the model of the car in,

n₁ = 2 ways

It is available in eight  different colors.

After selecting the model, customers can select the color of the car in,

n₂ = 8 ways

Customers can choose to add any combination of four optional features.

After selecting the color, customers have the choice to add any combination of 4 optional features,

n₃ = 4² = 16 ways

Which means that there are 16 different ways to add 4 optional features e.g.

1. 0, 0, 0, 0

2. 0, 0, 0, 1

3. 0, 0, 1, 0

4. 0, 0, 1, 1

and the list goes on to 16 different ways.

Now the total ways to select a car is given by

n = n₁*n₂*n₃

n = 2*8*16

n = 256

Therefore, there are 256 ways to select a car with 2 car models, 8 different colors and any combinations of 4 optional features.

6 0
3 years ago
Use the following steps to prove that log b(xy)- log bx+ log by.
borishaifa [10]

Answer with Step-by-step explanation:

a.x=b^p

y=b^q

Taking both sides log

log x=plog b

Using identity:logx^y=ylogx

p=\frac{logx}{log b}=log_b x

Using identity:log_x y=\frac{log y}{log x}

log y=qlog b

q=\frac{log y}{log b}=log_b y

b.xy=b^pb^q

We know that

x^a\cdot x^b=x^{a+b}

Using identity

xy=b^{p+q}

c.log_b(xy)=log_b(b^{p+q})

log_b(xy)=(p+q)log_b b

Substitute the values then we get

log_b(xy)=(log_b x+log_b y)

By using log_b b=1

Hence, log_b(xy)=log_b x+log_b y

3 0
3 years ago
Daniel got a traffic citation. He had the option of paying 30% of his fine for traffic school. If traffic school cost $240, how
White raven [17]
30% of the fine is $240

Let x = fine
.3x = 240 \\ x = 240  \div .3 \\ x = 800
The fine is $800
5 0
3 years ago
Read 2 more answers
A touchdown it's worth six points. Additionally you score an extra point if you can take a field goal. Is the total number of po
Arisa [49]
No because it would be 7/6 which is not proportional.
6 0
3 years ago
3/8(n+10)=6<br> what does n=
katrin2010 [14]
\dfrac{3}{8}(n+10)=6|\cdot8\\&#10;3(n+10)=48\\&#10;3n+30=48\\&#10;3n=18\\&#10;n=6&#10;
3 0
3 years ago
Other questions:
  • Why is 4 the smallest composite number 
    5·1 answer
  • Expand: In (4a)^3<br> - 3 In 4 + In a<br> - 3 In 4 - 3 In a<br> - 3 In 4 + 3 In a
    14·1 answer
  • What is the surface area of a coke bottle? <br>how do you figure it out?
    12·1 answer
  • Fractions on a Number line. Use: 1/3 , 3/3, 8/4, 5/6, 2/8, 1 2/3
    5·1 answer
  • 1/2 divided 1/4 Help me​
    13·2 answers
  • What is the common difference of an arithmetic sequence defined by the general formula: an=4n+5
    13·1 answer
  • for competition,the cheerleading team,is preparing a dance routine that must last 4 minutes,with a variation of +- 5 seconds. fi
    7·1 answer
  • Write an expression
    10·2 answers
  • Help I need to know how to do it step by step asap ​
    9·1 answer
  • 4.<br> 122 - 4(6) + 1<br> Evaluate<br> 112<br> 122 - 4(6) + 1<br> 112
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!