`D=141-0.16p`
`S=64+0.28p`
The set of equations above describes how the supply, S, and demand, D, for a computer memory chip depends on market price. If p represents the price in dollars for each lot of 10 memory chips, for what dollar price per memory chip does supply equal demand?

Answer

To find the dollar price per memory chip where supply equals demand, we start with the given equations:

1. **Demand Equation**: \( D = 141 - 0.16p \)
2. **Supply Equation**: \( S = 64 + 0.28p \)

We need to find the price \( p \) at which supply equals demand, so we set \( D = S \):

### Step 1: Set the equations equal to each other
\[ 141 - 0.16p = 64 + 0.28p \]

### Step 2: Rearrange the equation
First, we will move all terms involving \( p \) to one side and constant terms to the other side.

Subtract \( 64 \) from both sides:
\[ 141 - 64 - 0.16p = 0.28p \]
This simplifies to:
\[ 77 - 0.16p = 0.28p \]

### Step 3: Combine like terms
Now, we add \( 0.16p \) to both sides:
\[ 77 = 0.28p + 0.16p \]
This simplifies to:
\[ 77 = 0.44p \]

### Step 4: Solve for \( p \)
Now, divide both sides by \( 0.44 \):
\[ p = \frac{77}{0.44} \]
Calculating this gives:
\[ p \approx 175 \]

### Step 5: Find the price per memory chip
Since \( p \) represents the price for a lot of 10 memory chips, the price per memory chip is:
\[ \text{Price per memory chip} = \frac{p}{10} = \frac{175}{10} = 17.5 \]

### Final Answer
The dollar price per memory chip at which supply equals demand is **$17.50**.

---