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Suppose that low-skilled workers employed in clearing woodland can each clear on

ID: 1255093 • Letter: S

Question

Suppose that low-skilled workers employed in clearing woodland can each clear one acre per month if they are each equipped with a shovel, a machete, and a chainsaw. Clearing one acre brings in $1000 in revenue. Each worker’s equipment costs the worker’s employer $150 per month to rent, and each worker toils 40 hours per week for four weeks each month.

a. What is the marginal revenue product of hiring one low-skilled worker to clear woodland for one month?

Instructions: Enter only whole numbers for your answer.

$ ________

b. How much revenue per hour does each worker bring in?

Instructions: Round your answer to two decimal places.

$ ________

c. If the minimum wage were $6.20, would the revenue per hour in part b exceed the minimum wage? Choose:
No or Yes

If so, by how much per hour?

Instructions: Round your answer to two decimal places.

$ ________ per hour

d. Now consider the employer’s total costs. These include the equipment costs as well as a normal profit of $50 per acre. If the firm pays workers the minimum wage of $6.20 per hour, what will the firm’s economic profit or loss be per acre?

Instructions: Enter only whole numbers for your answer. Enter a positive number after identifying profit or loss.

The firm’s (choose one): Profit or loss per acre will be $ ________.

e. At what value would the minimum wage have to be set so that the firm would make zero economic profit from employing an additional low-skilled worker to clear woodland?

Instructions: Enter whole number for your answer.

$________

Explanation / Answer

Suppose that low-skilled workers employed in clearing woodland can each clear one acre per month if they are each equipped with a shovel, a machete, and a chainsaw. Clearing one acre brings in $1000 in revenue. Each worker’s equipment costs the worker’s employer $150 per month to rent, and each worker toils 40 hours per week for four weeks each month.

a. What is the marginal revenue product of hiring one low-skilled worker to clear woodland for one month?

Instructions: Enter only whole numbers for your answer.
MRP is the change in total revenue product per worker.


Here the MR earned by the worker is $1000

$1000

b. How much revenue per hour does each worker bring in?

Instructions: Round your answer to two decimal places.
40 hrs per week.

For 4 weeks = 40x 4

                   = 160 hrs

$1000 is earned for 160 hrs

For 1 hr = $1000/160

             = 6.25


       $ 6.25


c. If the minimum wage were $6.20, would the revenue per hour in part b exceed the minimum wage? Choose:

No or Yes

Revenue per worker is $6.25, so it exceeds the min wage of $6.20

Yes

If so, by how much per hour?

Instructions: Round your answer to two decimal places.
$6.25 - $6.20 = $0.05
$ 0.05 per hour

d. Now consider the employer’s total costs. These include the equipment costs as well as a normal profit of $50 per acre. If the firm pays workers the minimum wage of $6.20 per hour, what will the firm’s economic profit or loss be per acre?

Instructions: Enter only whole numbers for your answer. Enter a positive number after identifying profit or loss.

Wage to workers = 160 hrs x $6.20

                           = $992

Equiptment costs = $150 per month

Normal profit required = $50

Total cost = $992+ $150 +$ 50

                = $1192

Total revenue per month = $1000

Profit = Total revenue per month - Total cost

         = $1192-$1000

        = -$192

The firm’s (choose one): loss per acre will be $ 192

e. At what value would the minimum wage have to be set so that the firm would make zero economic profit from employing an additional low-skilled worker to clear woodland?

Instructions: Enter whole number for your answer.



$192 is the loss, so we have to deduct from the current wage per month of $992 which is $800 for 160 hrs.

So for 1hr = 800/160

               = $5 per hour

$5

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