An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

The total charge that flows through the device is 450 coulombs, which corresponds to approximately 2.81 × 10^21 electrons flowing through the device in 30 seconds.
;

Answered by Anonymous | 2025-07-04

Calculate Total Cost (TC) as the sum of Total Fixed Cost (TFC) and Total Variable Cost (TVC): TC = TFC + T V C .
Determine Average Fixed Cost (AFC) by dividing Total Fixed Cost (TFC) by Total Product (TP): A FC = TP TFC ​ .
Compute Average Variable Cost (AVC) by dividing Total Variable Cost (TVC) by Total Product (TP): A V C = TP T V C ​ .
Find Average Total Cost (ATC) by dividing Total Cost (TC) by Total Product (TP): A TC = TP TC ​ , and calculate Marginal Cost (MC) as the change in Total Cost with each additional unit of Total Product: MC = Δ TC .

Explanation

Understanding the Problem We are given a table with Total Product (TP), Total Fixed Cost (TFC), and Total Variable Cost (TVC). Our goal is to complete the table by calculating Total Cost (TC), Average Fixed Cost (AFC), Average Variable Cost (AVC), Average Total Cost (ATC), and Marginal Cost (MC) for each level of Total Product.

Calculating Total Cost First, we calculate the Total Cost (TC) for each level of Total Product (TP) using the formula: TC = TFC + T V C . Since TFC is constant at $60 , TC = 60 + T V C .

Calculating Average Fixed Cost Next, we calculate the Average Fixed Cost (AFC) for each level of TP using the formula: A FC = TP TFC ​ . Note that when TP = 0, AFC is undefined.

Calculating Average Variable Cost Then, we calculate the Average Variable Cost (AVC) for each level of TP using the formula: A V C = TP T V C ​ . Note that when TP = 0, AVC is undefined.

Calculating Average Total Cost After that, we calculate the Average Total Cost (ATC) for each level of TP using the formula: A TC = TP TC ​ . Note that when TP = 0, ATC is undefined. Also, A TC = A FC + A V C .

Calculating Marginal Cost Finally, we calculate the Marginal Cost (MC) for each level of TP using the formula: MC = Δ TP Δ TC ​ . Since Δ TP = 1 for each increment, MC = Δ TC . The marginal cost for the first unit (TP = 1) is the change in total cost from TP = 0 to TP = 1. In general, M C n ​ = T C n ​ − T C n − 1 ​ where n is the level of Total Product.

Completed Table Based on the calculations, the completed table is as follows:





Total Product
Total Fixed Cost
Total Variable Cost
Total Cost
Average Fixed Cost
Average Variable Cost
Average Total Cost
Marginal Cost



0
$60
$0
$60
-
-
-
-


1
$60
$45
$105
$60.00
$45.00
$105.00
$45


2
$60
$85
$145
$30.00
$42.50
$72.50
$40


3
$60
$120
$180
$20.00
$40.00
$60.00
$35


4
$60
$150
$210
$15.00
$37.50
$52.50
$30


5
$60
$185
$245
$12.00
$37.00
$49.00
$35


6
$60
$225
$285
$10.00
$37.50
$47.50
$40


7
$60
$270
$330
$8.57
$38.57
$47.14
$45


8
$60
$325
$385
$7.50
$40.63
$48.13
$55


9
$60
$390
$450
$6.67
$43.33
$50.00
$65


10
$60
$465
$525
$6.00
$46.50
$52.50
$75


Examples
Understanding cost structures is crucial for businesses. For example, a bakery has fixed costs like rent and ovens, and variable costs like flour and wages. By analyzing these costs using the table we completed, the bakery can determine the optimal production level to minimize average total cost and maximize profit. This analysis helps in making informed decisions about pricing, production volume, and resource allocation, ensuring the bakery's financial health.

Answered by GinnyAnswer | 2025-07-04