Question

In: Economics

“Stand-Up” is a small company that has a subcontract to produce instructional materials for disabled children...

“Stand-Up” is a small company that has a subcontract to produce instructional materials for disabled children in public school districts. The owner rents several small rooms in an office building in the suburbs for $500 a month and has leased computer equipment that costs $300 a month. Below is the structure of the company’s operational cost.

Output (Instructional Modules per Month)

Fixed Costs

Variable Costs

Total Cost

0

800

1

800

400

1480

2

1930

3

1350

2430

4

1900

5

2500

6

4280

7

4100

8

5400

9

7300

10

10880

  1. What is the marginal cost of creating the tenth instructional module in a given month?
  2. What is the average variable cost for the month if six instructional modules are
  3. What is the average fixed cost for the month if nine instructional modules are produced?

Solutions

Expert Solution

Output Fixed Cost Variable Cost Total Cost Marginal Cost
0 800 0 800 --
1 800 400 1480 680
2 800 1130 1930 450
3 800 1350 2430 500
4 800 1900 2700 270
5 800 2500 3300 600
6 800 3480 4280 980
7 800 4100 4900 620
8 800 5400 6200 1300
9 800 7300 8100 1900
10 800 10080 10880 2780

Fixed cost will remain same at every output hence fixed cost will be equal to 800 at every output.

Variable Cost = Total Cost - Fixed Cost

Total Cost = Fixed Cost + Variable Cost

Marginal Cost = Change in Total Cost / Change in Output

A) The marginal cost of creating the tenth instructional module in a given month will be

Marginal Cost = Change in Total Cost / Change in Output

Marginal Cost = 10880 - 8100 / 10 - 9

Marginal Cost = 2780 / 1

Marginal Cost = 2780

B) The average variable cost for the month if six instructional modules are

Average Variable Cost = Variable cost / Output

Average Variable Cost = 3480 / 6

Average Variable Cost = 580

C) The average fixed cost for the month if nine instructional modules are produced

Average Fixed Cost = Fixed cost / Output

Average Fixed Cost = 800 / 9

Average Fixed Cost = 88.88


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