170k views
3 votes
If ap sells the toaster ovens for $16 each, how many units will it have to sell to make a profit of $60,000 before taxes?

User Even Cheng
by
5.1k points

2 Answers

5 votes
If $60,000.00 is the total sales from selling toaster ovens at $16.00 each, then the total units of toaster ovens sold would be 3,750.00 units. If expenses where given, say for example, 40% of the sales, with a profit before tax of $60,000.00, then total sales should be $84,000.00 equivalent to 5,250 units of toaster ovens.
User Jray
by
5.3k points
3 votes

Answer:

AP have to sell 88,000 units to make a profit of $60,000 before taxes.

Step-by-step explanation:

The question is incomplete. The variable and fixed costs are missing.

The variable costs are:

  • Manufacturing: $7/unit
  • Administrative: $4/unit
  • Selling: $2/unit

The fixed costs are:

  • Manufacturing: $132,000
  • Administrative: $72,000

The total variable costs per unit are (7+4+2) = 13 $/unit.

The total fixed costs are: (132,000+72,000) = $204,000.

The profit before taxes is defined in this case as the difference between sales and total costs.

Sales is the product between the price and the quantity or number of units sold.

Then, we can express the profit E as:


E=S-TC\\\\E=P\cdot Q-(VC\cdot Q+FC)\\\\E=(P-VC)-FC

being P: price per unit, VC: variable cost per unit, Q: units sold, FC: fixed costs.

For a profit E=60,000, we can calculate the quantity Q as:


E=(P-VC)Q-FC\\\\60,000=(16-13)Q-204,000\\\\60,000=3Q-204,000\\\\3Q=60,000+204,000=264,000\\\\Q=264,000/3=88,000

Then, AP have to sell 88,000 units to make a profit of $60,000 before taxes.

User Jack Wester
by
6.1k points