The equation $$ y=0.005 x-0.5 $$ can be used to determine the approximate profit $$ y $$ in dollars of producing $$ x $$ items. How many iterns must be produced so the profit will be at least $$ \$ 3000 $$ ? A. $$ x \geq 600,100 $$ B. $$ x \leq 599,900 $$ C. $$ x \geq 599,900 $$ D. $$ 0

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UpStudy AI · Accepted Answer

To determine the number of items $$ x $$ that must be produced to achieve at least a \$3,000 profit, we can use the given profit equation:

$$
y = 0.005x - 0.5
$$

We want the profit $$ y $$ to be at least \$3,000:

$$
0.005x - 0.5 \geq 3000
$$

**Step-by-Step Solution:**

1. **Isolate the term with $$ x $$:**
   $$
   0.005x \geq 3000 + 0.5
   $$
   $$
   0.005x \geq 3000.5
   $$

2. **Solve for $$ x $$:**
   $$
   x \geq \frac{3000.5}{0.005}
   $$
   $$
   x \geq 600,100
   $$

**Conclusion:**

You must produce **at least 600,100 items** to achieve a profit of \$3,000.

**Answer:**  
**A. $$ x \geq 600,100 $$**
You need to produce at least 600,100 items to make a profit of at least \$3,000. **Answer:** A. $$ x \geq 600,100 $$

The equation can be used to determine the approximate profit in dollars of producing items. How many iterns must be produced so the profit will be at least ?
A.
B.
C.
D.

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The equation can be used to determine the approximate profit in dollars of producing items. How many iterns must be produced so the profit will be at least ? A. B. C. D.