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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.

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8 0
3 years ago
Which equation is true when the value of x is -12
Sophie [7]

Answer:

Which equation is true when the value of x is -12    HERE YOU GO!!

Step-by-step explanation:

tricky ... let's see ...

I notice that if we subtract xy from both sides we get

7x + xy - xy = xy - xy + 21

then

7x = 21

and

x = 21/7 = 3

so there is only one value of x that satisfies the equation

x = 3

Going back to the original equation we see that any value of y will satisfy the original equation

we can see this by rearranging things:

7x + xy - xy = 21

here, I have performed the subtraction of xy on the right side as above, but have left the left side undone

(so we don't lose the presence of y)

Note that the above can also be written as

7x + (x - x)y = 21

or

7x + 0y =21

now, since anything times zero equals zero,

y may be any number.

Let's summarize:

1) x = 3

2) y = anything

looking back at the original question;

1) the equation is true for all ordered pairs

FALSE (only one x works, not all x)

2) there are no x and y pairs for which the equation is true.

FALSE (x=3, y=anything) makes it true, i.e. (3,1)  

3) For each value of x, there is one and only one value of y that makes the equation true,

FALSE for each value of x, for the one value of x, x=3, y can be any number, which is an infinite number, not one

4) for each value of y, there is one and only on value of x that makes the equation true.

TRUE!! for all the infinite values of y you may pick, there is one and only one x you may pick, x = 3

ANSWER: STATEMENT 4 is CORRECT (TRUE)

3 0
3 years ago
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