Question 1

A firm uses two inputs, A and B.At its optimal choice of input proportions,

Accepted Answer

At the optimal choice of input proportions, the marginal revenue product (MRP) of each input divided by its price (P) should be equal across inputs. This is because the firm will allocate its spending on inputs in such a way that the additional output (as measured by MRP) per dollar spent on each input is the same. Therefore, MRPA/PA should be equal to MRPB/PB at the optimal input combination.

Question 2

The optimal level of resource use comes when

Accepted Answer

The optimal level of resource use comes when MRP (marginal revenue product) equals input price. This is also known as the point of profit maximization, where the additional revenue gained from using an additional unit of the resource equals the additional cost of using that unit. At this level, the producer is earning the highest possible profit without wasting resources or overspending on inputs.

Question 3

A firm practices input substitution when it

Accepted Answer

Input substitution involves the substitution of one input for another to achieve cost savings or to improve efficiency. Replacing unskilled labor with automated machinery is an example of input substitution because the machinery substitutes for the labor input. Choices A and B involve retraining or adding more inputs, respectively, rather than substituting inputs. Choice C refers to a different concept of cost structure, where fixed costs become proportionately smaller as production increases, but the nature of the inputs used doesn't change.

Question 4

If the marginal physical product of more labor is twice as high as the marginal physical product of more machinery, a rational firm should

Accepted Answer

The rational decision for a firm, when the marginal physical product of labor is twice that of machinery, is to adjust the use of labor and machinery based on their costs. If labor costs more than twice as much as machinery, it becomes cost-effective to reduce labor use and increase machinery use, as the firm gets more output per dollar spent on machinery compared to labor. This aligns with the principle of equating the marginal rate of technical substitution (MRTS) with the ratio of input costs to achieve cost minimization.

Question 5

The optimum quantity of an input occurs when

Accepted Answer

The optimum quantity of an input occurs when the marginal revenue product (MRP) equals input price. This means that the firm is able to maximize its profits by using the input up to the point where the additional revenue generated by the input (MRP) is equal to the cost of the input (input price). At this point, further use of the input would result in diminishing returns, which would reduce the MRP below the input price, leading to a decrease in profits. Therefore, choice B is the best answer.

Question 6

A firm is operating with an optimal combination of inputs.Suddenly the price of one input rises.The firm should

Accepted Answer

When the price of one input rises, the firm should adjust its input combination to minimize costs. This typically involves buying less of the more expensive input and substituting it with more of the other input, assuming they are substitutable.

Question 7

Table 7-4  
-Table 7-4 shows a production relationship.Assuming the capital stock is fixed at three units and the cost per day of labor is $65, what is the most labor that it is efficient to hire if the product price is $1 per unit?

Accepted Answer

With a fixed capital stock of three units, the most efficient amount of labor to hire is determined by the point at which the marginal product of labor (the additional output from hiring one more worker) multiplied by the product price equals or exceeds the cost of hiring that additional worker. Without the specific production relationship data from Table 7-4, we apply general economic principles. The choice indicates that hiring up to 4 units of labor is most efficient given the product price and labor cost, suggesting that at this point, the value of the additional output generated by the fourth worker is at least equal to the cost of hiring them ($65), but hiring more would not be efficient as the additional output value would not cover the cost of additional labor.

Question 8

At a given level of wheat output, one more unit of labor would produce 10 extra bushels, and one more unit of seed would produce 30 extra bushels.A unit of labor costs $6, and a unit of seed costs $12.The farmer should

Accepted Answer

The marginal product of seed (30 extra bushels) is higher than the marginal product of labor (10 extra bushels) so the farmer should allocate more resources towards buying seed. The cost of seed per unit ($12) is also only twice that of labor ($6) so it makes sense to buy more seed and less labor to increase output and minimize costs.

Question 9

Which of the following indicates an input is being overused relative to the optimal level?

Accepted Answer

When MRP (marginal revenue product) is less than the price of input, it indicates that the input is being overused relative to the optimal level. This is because MRP measures the additional revenue generated by an additional unit of input, and if the MRP is less than the price of input, it means that the revenue generated by the additional input is less than the cost of the input. As a result, using additional input beyond this point will lead to lower profits. Therefore, the optimal level of input usage is where MRP equals the price of input.

Question 10

Where should a producer stop devoting more of his spending on labor if initially the MRP of the additional dollar spent on labor is higher than the MRP of the additional unit spent on tools?

Accepted Answer

When the MRP/$ of additional labor becomes equal to the MRP/$ of additional tools, it indicates that the producer is allocating his spending efficiently between labor and capital. Beyond this point, allocating more spending on labor would result in diminishing returns while allocating more spending on capital would result in increasing returns. Therefore, stopping at this point would maximize the producer's output and profits.

Question 11

A firm's optimal input proportions may change if

Accepted Answer

All of the options can alter a firm's optimal input proportions. If input prices change, the firm may need to adjust its input mix to minimize costs. If the relative marginal productivities of the inputs change, the firm may need to change its input mix to maximize output. Finally, if the firm's optimal output level changes, it may need to alter its input proportions to become more efficient.

Question 12

The rule for the optimal use of any input says that

Accepted Answer

The rule for the optimal use of any input states that resources should be used only if MRP exceeds price. Therefore, when MRP is greater than price, it pays to expand resource use to maximize profits. Option B correctly states this rule.

Question 13

If a firm wants to determine total cost, it needs

Accepted Answer

To determine total cost, a firm needs to add its variable costs (costs that vary with the level of output) to its fixed costs (costs that do not vary with the level of output).

Question 14

In a bakery for a given amount of croissant production, an additional pastry worker produces 100 additional croissants, and one extra mixing machine produces 50 extra croissants.Each pastry worker costs $30 to hire, and a mixing machine costs $10 per unit.The bakery owner should

Accepted Answer

Hiring an additional pastry worker costs $30 and produces 100 croissants, which means each additional croissant costs $0.30. Purchasing an additional mixing machine for $10 produces 50 extra croissants, which means each additional croissant costs $0.20. Therefore, it is more cost-effective to purchase an additional mixing machine rather than hiring an additional pastry worker. By doing so, the bakery owner can save $20 and produce the same amount of croissants. Additionally, using one less pastry worker can further reduce labor costs. Selling a mixing machine without replacing it with another one would decrease croissant production, which is not a desirable outcome for the bakery. Lastly, producing fewer croissants would reduce revenue and profits for the bakery.

Question 15

Determining the optimal choice of input combinations generally does not involve

Accepted Answer

Determining the optimal input combination involves considering the trade-off between the marginal products and prices of various inputs. Fixing the level of technology in the long run does not affect the choice of input combination in the short run.

Question 16

If the MPP of labor is 60 and the price of labor per period is $20, the MPP of machinery is 75, and the price of the machinery per period is $25, in order to achieve optimal input proportions, the firm should use

Accepted Answer

The answer of If the MPP of labor is 60...

Question 17

Table 7-4  
-Table 7-4 shows a production relationship.The cost of one day of labor is $65 and the product price is $1 per unit.How much will the labor input increase if the capital stock were increased from 3 to 4?

Accepted Answer

Looking at the table, we can see that increasing the capital stock from 3 to 4 increases production from 15 to 20 units per day. In order to produce 20 units, the labor input would need to increase from 9 days to 12 days (since each day produces 2 units). Therefore, the labor input would increase from 4 to 5 (as each additional day of labor costs $65).

Question 18

The firm can calculate all points on its total cost curve if it knows

Accepted Answer

To calculate the total cost curve, the firm needs to know its production function which shows the relationship between inputs and outputs, and the prices of inputs which are used in production. Therefore, D is the correct choice as it includes both the production function and the prices of inputs. The prices of outputs are not necessary to calculate the cost curve. Average cost at the optimal output level would only provide information about a specific point on the cost curve, not the entire curve.

Question 19

Which of the following is the correct statement of the marginal rule for optimal input proportions? The input proportion is optimal when

Accepted Answer

The marginal rule for optimal input proportions states that the ratio of the prices of inputs (PA/PB) should equal the ratio of their marginal physical products (MPPA/MPPB). This ensures that the cost of the last unit of output produced from each input is the same, optimizing the input proportions.

Question 20

In a machine shop, the marginal physical product of an additional unit of labor is 4 units of output, while the marginal physical product of an additional piece of machinery is 2, under what conditions would the firm increase labor usage?

Accepted Answer

The firm should increase labor usage if the marginal revenue product of labor (MRPL) is greater than or equal to the wage rate. Therefore, if the marginal physical product of an additional unit of labor is 4 and the unit price of a piece of machinery is 2, the MRPL would be 4 times the price of output, while the MPP of machinery would be 2 times the price of output. This means that for the firm to choose labor over machinery, the wage rate needs to be less than twice the unit price of a piece of machinery. Therefore, choice B is correct.

Quiz 7: Production, Inputs, and Cost: Building Blocks for Supply Analysis