A certain factory produces and sells $$ C $$ computers per month. It costs $$ x $$ dollars to produce a single computer, and the factory sells each computer for $$ y $$ dollars. Their monthly net profit is 10,000 dollars. Write an equation that relates $$ C, x $$, and $$ y $$.

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To determine the relationship between the number of computers produced and sold ($$ C $$), the cost to produce each computer ($$ x $$), and the selling price of each computer ($$ y $$), we can analyze the factory's monthly net profit.

1. **Total Revenue**: This is the amount of money the factory earns from selling the computers.
   $$
   \text{Total Revenue} = C \times y
   $$

2. **Total Cost**: This is the amount of money the factory spends to produce the computers.
   $$
   \text{Total Cost} = C \times x
   $$

3. **Net Profit**: This is the difference between total revenue and total cost, which is given as \$10,000.
   $$
   \text{Net Profit} = \text{Total Revenue} - \text{Total Cost} = C \times y - C \times x = 10{,}000
   $$

Simplifying the equation:
$$
C(y - x) = 10{,}000
$$

**Final Equation:**
$$
C \times y - C \times x = 10{,}000
$$

Alternatively, it can be written as:
$$
C(y - x) = 10{,}000
$$

Either form effectively relates $$ C $$, $$ x $$, and $$ y $$ based on the given information.

**Answer:**
The net profit is Cy minus Cx and equals 10 000, so

C y − C x = 10,000
The equation relating $$ C $$, $$ x $$, and $$ y $$ is: $$ C \times y - C \times x = 10{,}000 $$

A certain factory produces and sells computers per month. It costs
dollars to produce a single computer, and the factory sells each computer
for dollars. Their monthly net profit is 10,000 dollars.
Write an equation that relates , and .

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A certain factory produces and sells computers per month. It costs dollars to produce a single computer, and the factory sells each computer for dollars. Their monthly net profit is 10,000 dollars. Write an equation that relates , and .