Final answer:
The adjustment that must be made to the value of the inventory at year-end is $875.
Step-by-step explanation:
The amount of adjustment that must be made to the value of the inventory at year-end can be calculated by comparing the original cost of the inventory with the new selling price. In this case, the original cost per item is $15 and the new selling price is $10. The adjustment can be calculated by subtracting the new selling price from the original cost and multiplying it by the number of items in stock.
Adjustment = (Original Cost - New Selling Price) * Number of Items
Using the given information:
Adjustment = ($15 - $10) * 175
Adjustment = $875
Therefore, an adjustment of $875 must be made to the value of the inventory at year-end.