An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?
Answer (2)
Profit is calculated by subtracting total cost from total revenue.
For one bike: $50 - $80 = -$30
For two bikes: $100 - $97 = $3
For three bikes: $150 - $110 = $40
For four bikes: $200 - $130 = $70
For five bikes: $250 - $160 = $90
For six bikes: $300 - $210 = $90
For seven bikes: $350 - $270 = $80
The profits for each level of bicycle production are: $\boxed{-$30, $3, $40, $70, $90, $90, $80}.
Explanation
Understanding the Problem We are given a table showing the total cost and total revenue for producing different numbers of bikes. Our goal is to calculate the profit for each production level. Profit is simply the total revenue minus the total cost.
Calculating Profit for One Bike For producing one bike, the total revenue is $50 and the total cost is 80. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $50 - $80 = - 30 $
So, producing one bike results in a loss of $30.
Calculating Profit for Two Bikes For producing two bikes, the total revenue is $100 and the total cost is 97. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $100 - $97 = 3 $
So, producing two bikes results in a profit of $3.
Calculating Profit for Three Bikes For producing three bikes, the total revenue is $150 and the total cost is 110. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $150 - $110 = 40 $
So, producing three bikes results in a profit of $40.
Calculating Profit for Four Bikes For producing four bikes, the total revenue is $200 and the total cost is 130. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $200 - $130 = 70 $
So, producing four bikes results in a profit of $70.
Calculating Profit for Five Bikes For producing five bikes, the total revenue is $250 and the total cost is 160. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $250 - $160 = 90 $
So, producing five bikes results in a profit of $90.
Calculating Profit for Six Bikes For producing six bikes, the total revenue is $300 and the total cost is 210. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $300 - $210 = 90 $
So, producing six bikes results in a profit of $90.
Calculating Profit for Seven Bikes For producing seven bikes, the total revenue is $350 and the total cost is 270. T h ere f ore , t h e p ro f i t i sc a l c u l a t e d a s : $Profit = Total_Revenue - Total_Cost = $350 - $270 = 80 $
So, producing seven bikes results in a profit of $80.
Final Answer Here are the profits for each level of bicycle production: One bike: -$30 Two bikes: $3 Three bikes: $40 Four bikes: $70 Five bikes: $90 Six bikes: $90 Seven bikes: $80
Examples
Understanding profit calculation is crucial in business. For example, if you are selling lemonade, you need to know how much it costs to make each cup (cost) and how much you sell each cup for (revenue). The difference between these two is your profit. If the cost is higher than the revenue, you're operating at a loss, and you might need to adjust your pricing or reduce your costs to make a profit.
The electric device delivers a current of 15.0 A for 30 seconds, which results in a total charge of 450 coulombs. This amount of charge corresponds to approximately 2.81 × 1 0 21 electrons flowing through the device. The number of electrons is calculated using the charge of a single electron, approximately 1.6 × 1 0 − 19 coulombs.
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