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The problem asks to determine the selling price per unit based on the graph of the utility function, given that the unit cost is $15.

The graph shows a linear function $ U(q) $ representing utility (in dollars) as a function of $ q $ (the quantity of goods sold, in units).

### Steps to find the selling price:
1. **Identify the slope of the line**: The slope of the utility function line gives us the profit per unit (which includes the cost). 

   From the graph:
   - The utility at $ q = 200 $ units is approximately $0.
   - The utility at $ q = 250 $ units is approximately $500.
   
   So, the slope $ m $ of the line (rate of change of utility per unit) is:
   \[
   m = \frac{\Delta U}{\Delta q} = \frac{500 - 0}{250 - 200} = \frac{500}{50} = 10
   \]

   The slope represents the additional utility (profit) generated per unit of goods sold. Therefore, for each unit sold, the profit is $10.

2. **Calculate the selling price**: 
   The total selling price of each unit is the sum of the cost and the profit per unit. Given that the cost is $15 and the profit is $10, the selling price $ P $ is:
   \[
   P = \text{cost} + \text{profit} = 15 + 10 = 25
   \]
   
   Thus, the selling price per unit is **$25**.

Would you like any more details or explanations?

### Related questions:
1. How would the result change if the unit cost increased?
2. How can we derive the total profit for a specific number of units sold?
3. What does the utility represent in this type of graph?
4. How would a change in slope affect the selling price?
5. How could we calculate the break-even point from the graph?

**Tip**: Understanding the slope of linear functions in economics can help you quickly find rates like profit per unit or cost per unit in various scenarios.

A partir de la gráfica de la función utilidad, determine el precio de venta de cada bien si el costo unitario es de 15 dólares.

Resuelve un problema sobre cómo determinar el precio de venta basado en la gráfica de la función de utilidad, dado un costo unitario de $15. La gráfica muestra una relación lineal, y la solución incluye el cálculo de la pendiente y el precio final.

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