Answer:
See below
Step-by-step explanation:
Given that;
September 30 inventory = $40,500
December 31 inventory = $49,500
Let x be the budgeted purchases for this quarter.
We can now calculate the budgeted purchases for this quarter by using the formula below;
Required December 31 inventory = September 30 inventory + x - Cost of goods sold
Where cost of goods sold = $141,000 × 0.8
So, by putting the values, we'll have
$49,500 = $40,500 + x - $141,000 × 0.8
$49,500 = $40,500 + x - $112,800
x = $49,500 - $40,500 - $112,800
x = $121,800
Therefore, budgeted purchases for the next quarter should be $121,800