Answer: Sweets needs to sell to cover its fixed and variable costs.
Let x be the number of dozens of milk fritters that Royal Sweets needs to sell to break even.
Revenue from selling x dozens of milk fritters = price per dozen x number of dozens sold = $3.50x
Total cost = fixed cost + variable cost
Total cost = $15,000 + ($2.00 x)
At break-even point, revenue = total cost, so:
$3.50x = $15,000 + ($2.00 x)
$1.50x = $15,000
x = 10,000/1.5
x = 6,666.67
Therefore, Royal Sweets needs to sell approximately 6,667 dozens of milk fritters to break even.