In the equation below, how did the professor get 14?  Profits=P*Q-(3-5Q) Where P is 7.5 and Q is 2.5  Profits=7.5*2.5-3-5(2.5)  I understand how he got the 18.75 (7.5*2.5=18.75), but I don't understand how he got 14 as the answer to -3-5(2.5). But I could also being going about this completely incorrectly ...

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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In the equation below, how did the professor get 14? 

Profits=P*Q-(3-5Q)

Where P is 7.5 and Q is 2.5 

Profits=7.5*2.5-3-5(2.5) 

I understand how he got the 18.75 (7.5*2.5=18.75), but I don't understand how he got 14 as the answer to -3-5(2.5). But I could also being going about this completely incorrectly ... 

**Profit Calculation Example**

This example demonstrates how to calculate profits using a specific formula. 

1. **Profit Formula:**

   \[
   \text{Profits} = P \times Q - (3 - 5Q)
   \]

   - **P** represents the price per unit.
   - **Q** stands for the quantity of units.

2. **Calculation:**

   \[
   \text{Profits} = 7.5 \times 2.5 - 3 - 5(2.5)
   \]

   Step-by-step breakdown:

   - First, multiply the price per unit (P = 7.5) by the quantity (Q = 2.5) to get 18.75.
   - Then, calculate 5 times the quantity (5×2.5 = 12.5).
   - Subtract 3 from this product (12.5 - 3 = 9.5).
   - Finally, subtract this result from the initial multiplication (18.75 - 12.5 = 6.25), yielding the final profit:

   \[
   \text{Profits} = 18.75 - 14 = \$4.75
   \]

This calculation shows that the profit is $4.75.
Transcribed Image Text:**Profit Calculation Example** This example demonstrates how to calculate profits using a specific formula. 1. **Profit Formula:** \[ \text{Profits} = P \times Q - (3 - 5Q) \] - **P** represents the price per unit. - **Q** stands for the quantity of units. 2. **Calculation:** \[ \text{Profits} = 7.5 \times 2.5 - 3 - 5(2.5) \] Step-by-step breakdown: - First, multiply the price per unit (P = 7.5) by the quantity (Q = 2.5) to get 18.75. - Then, calculate 5 times the quantity (5×2.5 = 12.5). - Subtract 3 from this product (12.5 - 3 = 9.5). - Finally, subtract this result from the initial multiplication (18.75 - 12.5 = 6.25), yielding the final profit: \[ \text{Profits} = 18.75 - 14 = \$4.75 \] This calculation shows that the profit is $4.75.
Expert Solution
Step 1

profits are measured as the difference between total revenue and total cost . Where Cost includes fixed as well as variable cost.

 

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