Question 1

-The table in the above figure shows the levels of output resulting from different levels of inputs.At which level of input are there constant returns to scale?

Accepted Answer

The answer of 
-The table in the above figure shows...

Question 2

Returns to scale refers to the change in output when

Accepted Answer

Returns to scale refers to the change in output when all inputs increase proportionately. This means that if all inputs are increased by a certain percentage, the output will also increase by the same percentage. This is different from the concept of economies of scale, which refers to the decrease in average cost as output increases.

Question 3

-The above figure shows the isoquants for producing steel.Constant returns to scale are

Accepted Answer

Constant returns to scale are indicated by isoquants that are equally spaced apart. If the isoquants for producing between 10,000 and 20,000 tons are equally spaced, it suggests that doubling the inputs will double the output, characteristic of constant returns to scale.

Question 4

-The above figure shows the isoquants for producing steel.When producing more than 20,000 tons there are

Accepted Answer

Decreasing returns to scale occur when increasing the input of resources results in a less than proportional increase in output, which is indicated by the isoquants becoming closer together as production increases beyond 20,000 tons. This means that to produce each additional unit of output, more and more inputs are required, reflecting decreasing efficiency or decreasing returns to scale.

Question 5

-The above figure shows the isoquants for producing steel.Decreasing returns to scale are

Accepted Answer

Decreasing returns to scale occur when increasing the input amounts leads to a less than proportional increase in output. In the context of isoquants, this is indicated when the isoquants become closer together as output increases, suggesting that more and more inputs are needed to produce additional units of output. If the statement indicates that decreasing returns to scale are present beyond a certain production level (e.g., 20,000 tons), it means that beyond this point, the efficiency of production decreases, requiring disproportionately more inputs to increase output.

Question 6

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is TRUE?

Accepted Answer

The answer of Suppose the production of mp3 players can...

Question 7

-The table in the above figure shows the levels of output resulting from different levels of inputs.Returns to scale are greatest at which level of output?

Accepted Answer

The answer of 
-The table in the above figure shows...

Question 8

Let the production function be q = AL^aK^b.The function exhibits increasing returns to scale if

Accepted Answer

To test for increasing returns to scale, we need to see how changing all inputs proportionally affects output. Let's multiply all inputs by a constant factor of λ. Then, the new output would be:

q' = ALS1λU1P1aS1S1P0KλS1U1P1bS1S1P0

= λ^(a+b) * q

Since λ^(a+b) > 1 (since a+b > 1), it follows that q' > q. Therefore, the production function exhibits increasing returns to scale if a + b > 1.

Question 9

-The table in the above figure shows the levels of output resulting from different levels of inputs.Which of the following conclusions can be drawn from this information?

Accepted Answer

Increasing returns to scale exist between 100 and 200 units of output because the output increases by a greater percentage than the input.

Question 10

Decreasing returns to scale may occur as increasing the amount of inputs used

Accepted Answer

When increasing the amount of inputs used, there may be coordination difficulties which can lead to a decrease in productivity and efficiency. This can result in decreasing returns to scale. A, B, and D do not necessarily cause decreasing returns to scale.

Question 11

Let the production function be q = AL^aK^b.The function exhibits decreasing returns to scale if

Accepted Answer

The production function exhibits decreasing returns to scale if the sum of the exponents for all inputs is less than 1, i.e. (a+b+s1+u1+p1+1+k) < 1. Simplifying this expression using the given production function, we get (a+b) < 0, which means a + b < 1, as the exponents cannot be negative. Therefore, option C is the correct answer.

Question 12

During the "computer revolution" of the 1980s and 1990s,many firms replaced old technology with new technology.What might explain why firms don't change technology as quickly today?

Accepted Answer

The answer of During the "computer revolution" of the 1980s...

Question 13

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is (are)TRUE?

Accepted Answer

The production function q = L^0.4K^0.4 suggests a complex interaction between labor (L) and capital (K), with exponents indicating the rate at which output changes in response to changes in inputs. The presence of diminishing returns (implied by the nature of the function and the exponents less than 1) supports all the given statements: A) Decreasing returns to scale occur when increasing the inputs leads to a less than proportional increase in output. B) The marginal productivity of labor decreases as more labor is added, which is typical in production functions where inputs have diminishing marginal returns. C) The function's structure, with both labor and capital as inputs, implies that they can be substituted for one another to some extent, adjusting the production process based on the availability and cost of these inputs.

Question 14

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.The firm currently produces q₁ units.If all inputs doubled,the new level of output will equal

Accepted Answer

Doubling all inputs in a production function with constant returns to scale would double the output. However, the given production function exhibits increasing returns to scale due to the sum of the exponents (greater than 1), leading to more than double the output. Specifically, if the exponents sum to 1.4, doubling inputs would increase output by $2^{1.4}$, which is an increase by a factor of approximately 2.64, not merely doubling. Therefore, the correct answer involves an increase greater than double, aligning with option B, which suggests an output increase by a factor related to the exponent sum, indicating a more substantial increase than simply doubling the output.

Question 15

-The above figure shows the isoquants for producing steel.When producing less than 10,000 tons there are

Accepted Answer

Increasing returns to scale occur when an increase in inputs leads to a more than proportional increase in output, which is typically observed when producing less than a certain quantity, such as 10,000 tons in this scenario.

Question 16

Let the production function be q = AL^aK^b.Returns to scale are equal to

Accepted Answer

Returns to scale are determined by the power to which all inputs (capital and labor) are raised in the production function. In this case, both labor (^a"U1") and capital (K^b) are raised to the power of a + b. Therefore, returns to scale are equal to a + b.

Question 17

Returns to scale is a concept that operates

Accepted Answer

Returns to scale refers to how output changes in response to a proportional change in all inputs in the production process, which is a concept that applies in the long run when all factors of production can be varied.

Question 18

-The above figure shows the isoquants for producing steel.When producing between 10,000 and 20,000 tons there are

Accepted Answer

Constant returns to scale occur when increasing all inputs by a certain proportion results in an increase in output by the same proportion, which is typically represented by equidistant isoquants.

Question 19

-The above figure shows the isoquants for producing steel.Increasing returns to scale are

Accepted Answer

Increasing returns to scale are present when producing less than 10,000 tons because the isoquants are getting closer together as output increases, indicating that less of each input is needed to produce an additional unit of output.

Question 20

Let the production function be q = AL^aK^b.The function exhibits constant returns to scale if

Accepted Answer

The production function exhibits constant returns to scale if when all inputs are multiplied by a constant factor, the output also gets multiplied by the same constant factor. Mathematically, this can be represented as q(kL, kS, kP) = kq(L,S,P). 
Using this definition, we can see that if a+b=1, then q(kL,kS,kP)=kALS^(a+b)U^((a+b))P^(a+b)KALSKUP^(a+b) = kq(L,S,P), which exhibits constant returns to scale. Therefore, the correct choice is A) a + b = 1.

Quiz 6: Firms and Production

-The table in the above figure shows the levels of output resulting from different levels of inputs.At which level of input are there constant returns to scale?

Returns to scale refers to the change in output when

-The above figure shows the isoquants for producing steel.Constant returns to scale are

-The above figure shows the isoquants for producing steel.When producing more than 20,000 tons there are

-The above figure shows the isoquants for producing steel.Decreasing returns to scale are

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is TRUE?

-The table in the above figure shows the levels of output resulting from different levels of inputs.Returns to scale are greatest at which level of output?

Let the production function be q = AL^aK^b.The function exhibits increasing returns to scale if

-The table in the above figure shows the levels of output resulting from different levels of inputs.Which of the following conclusions can be drawn from this information?

Decreasing returns to scale may occur as increasing the amount of inputs used

Let the production function be q = AL^aK^b.The function exhibits decreasing returns to scale if

During the "computer revolution" of the 1980s and 1990s,many firms replaced old technology with new technology.What might explain why firms don't change technology as quickly today?

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is (are) TRUE?

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.The firm currently produces q₁ units.If all inputs doubled,the new level of output will equal

-The above figure shows the isoquants for producing steel.When producing less than 10,000 tons there are

Let the production function be q = AL^aK^b.Returns to scale are equal to

Returns to scale is a concept that operates

-The above figure shows the isoquants for producing steel.When producing between 10,000 and 20,000 tons there are

-The above figure shows the isoquants for producing steel.Increasing returns to scale are

Let the production function be q = AL^aK^b.The function exhibits constant returns to scale if

Quiz 6: Firms and Production

-The table in the above figure shows the levels of output resulting from different levels of inputs.At which level of input are there constant returns to scale?

Returns to scale refers to the change in output when

-The above figure shows the isoquants for producing steel.Constant returns to scale are

-The above figure shows the isoquants for producing steel.When producing more than 20,000 tons there are

-The above figure shows the isoquants for producing steel.Decreasing returns to scale are

Suppose the production of mp3 players can be represented by the following production function: q = L0.4K0.4.Which of the following statements is TRUE?

-The table in the above figure shows the levels of output resulting from different levels of inputs.Returns to scale are greatest at which level of output?

Let the production function be q = ALaKb.The function exhibits increasing returns to scale if

-The table in the above figure shows the levels of output resulting from different levels of inputs.Which of the following conclusions can be drawn from this information?

Decreasing returns to scale may occur as increasing the amount of inputs used

Let the production function be q = ALaKb.The function exhibits decreasing returns to scale if

During the "computer revolution" of the 1980s and 1990s,many firms replaced old technology with new technology.What might explain why firms don't change technology as quickly today?

Suppose the production of mp3 players can be represented by the following production function: q = L0.4K0.4.Which of the following statements is (are) TRUE?

Suppose the production of mp3 players can be represented by the following production function: q = L0.4K0.4.The firm currently produces q1 units.If all inputs doubled,the new level of output will equal

-The above figure shows the isoquants for producing steel.When producing less than 10,000 tons there are

Let the production function be q = ALaKb.Returns to scale are equal to

Returns to scale is a concept that operates

-The above figure shows the isoquants for producing steel.When producing between 10,000 and 20,000 tons there are

-The above figure shows the isoquants for producing steel.Increasing returns to scale are

Let the production function be q = ALaKb.The function exhibits constant returns to scale if

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is TRUE?

Let the production function be q = AL^aK^b.The function exhibits increasing returns to scale if

Let the production function be q = AL^aK^b.The function exhibits decreasing returns to scale if

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.Which of the following statements is (are) TRUE?

Suppose the production of mp3 players can be represented by the following production function: q = L^0.4K^0.4.The firm currently produces q₁ units.If all inputs doubled,the new level of output will equal

Let the production function be q = AL^aK^b.Returns to scale are equal to

Let the production function be q = AL^aK^b.The function exhibits constant returns to scale if