The profit of that day is (C) P = $3,000.
<h3>
What is profit?</h3>
- A profit is a difference between the revenue generated by an economic entity's outputs and the opportunity costs of its inputs.
- Total revenue minus total cost, including both explicit and implicit costs, equals total revenue.
- Unlike accounting profit, it only refers to the explicit costs that appear on a company's financial statements.
- Accounting profit is calculated by subtracting the firm's total revenue from only the firm's explicit costs.
- When analyzing a firm, an economist considers all opportunity costs, both explicit and implicit.
To find the profit of that day:
Given:
- P = 500x − 20x², where 'x' is the number of machines per day produced.
- If the company produces 10 machines in one day, that is x = 10.
By substituting x = 10 in the above equation, we get:
- P = 500 × 10 - 20 × 10²
- P = 5000 - 2000
- P = 3,000/
Therefore, the profit of that day is (C) P = $3,000.
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Let's review "similar" and "congruent." "Congruent" means the same--so two congruent line segments will be the same length; two congruent figures have the same angle measures, same side lengths, same area, etc. "Similar" means that the sides and area are PROPORTIONAL, not the same: you can divide or multiply them all by the same number and get the measures of the other. Note that the angles must still be the same measures.
So, let's look at A, first comparing AB and CD. AB is 4 units long, and CD is 2 units long. 4/2=2, so AB is twice the length of CD. What about BC and DE? BC=6, and DE=3. 6/3=2. Since BOTH AB and BC are twice the length of CD and DE, they are proportional. A is correct!
In B, if side AC has the same slope as side CE, then basically they have the same incline. They are on the same line, and this line has a slope. Since they are both on this line, they both must have the same slope as this line, and therefore the same slope as each other. B is correct.
What about C? Are the triangles congruent? NO, because their side lengths are different (though proportional). C is incorrect. And D? Just looking at the diagram, we can tell that AC is not the same length as DE, so they are NOT congruent (though again, they are proportional). D is incorrect.
Answer: A, B
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