Answer:
282,217 units
Explanation:
Given: Selling price per unit = [tex]\$ 7.5[/tex]
Variable cost per unit = [tex]\$ 4.6[/tex]
Total fixed cost = [tex]\$ 163,560[/tex]
Targeted operating income = [tex]\$ 654,870[/tex]
Taking x as number of unit sold to achieve targeted operating income.
Formula for net operating income = [tex]\textrm (selling price per unit - variable cost per unit) \times no. of units sold - total fixed cost[/tex]
Now, putting values in the formula
⇒ 654,870 =[tex](7.50 - 4.60) \times x - 163560[/tex]
⇒ 654,870 = [tex]2.9x - 163560[/tex]
Now, we Add both side with 163560
⇒ 818430 = [tex]2.9x[/tex]
Next, we divide both side by 2.9
∴ [tex]x = 282217.24[/tex] ≅ 282217
282217 number of units must be sold to achieve the targeted operating income.