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 on market price. If p represents the price in dollars for each lot of 10 memory chips, for whar dollars price per memory chip does supply equal demand?

Answer

To solve the problem, we need to find the price per memory chip at which the supply equals the demand. The equations for supply (S) and demand (D) are given in terms of the market price (P) for a lot of 10 memory chips.

### Step-by-Step Solution:

1. **Set the Supply Equal to Demand**:
We have the equations for supply and demand:
\[ S = 141 - 0.16P \]
\[ D = 64 + 0.28P \]
To find the price at which supply equals demand, we set these two equations equal to each other:
\[ 141 - 0.16P = 64 + 0.28P \]

2. **Combine Like Terms**:
Rearranging the equation to isolate terms involving P on one side:
\[ 141 - 64 = 0.28P + 0.16P \]
This simplifies to:
\[ 77 = 0.44P \]

3. **Solve for P**:
To find P, divide both sides by 0.44:
\[ P = \frac{77}{0.44} \]
Calculating this gives:
\[ P = 175 \]

4. **Determine the Price per Memory Chip**:
Since P represents the price for a lot of 10 memory chips, we need to find the price for one memory chip:
\[ \text{Price per memory chip} = \frac{P}{10} = \frac{175}{10} = 17.5 \]

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