Question

The Shama Corporation produces customize backpacks. The company expects to generate a profit next year. It anticipates fixed manufacturing costs of $335,000 and fixed selling and administrative cost of $249,780. Variable manufacturing cost of $60.00 and variable selling and administrative of $3.00. The selling price per unit is $83.00

Break even units= 29,239
Break even sales = 2,426,837
Based upon the original information and if my contribution margin was to increase by $3 and if the company sold 3,500 units more than breakeven, what would the profit be for the company?
Based upon the original information, at what selling price is the manufacturer better off by not selling any of the customized backpacks?

Answer 1

Let's break down the problem step by step.

Given Information:

Fixed manufacturing costs: $335,000

Fixed selling and administrative costs: $249,780

Variable manufacturing cost per unit: $60.00

Variable selling and administrative cost per unit: $3.00

Selling price per unit: $83.00

Break-even units: 29,239

Break-even sales: $2,426,837

Calculation of Contribution Margin:

Contribution margin is the selling price per unit minus the variable cost per unit. It represents the amount of each unit's revenue that contributes to covering fixed costs and generating profit.

Contribution margin per unit = Selling price per unit - Variable cost per unit

Contribution margin per unit = $83.00 - ($60.00 + $3.00)

Contribution margin per unit = $83.00 - $63.00

Contribution margin per unit = $20.00

Calculation of Profit for Selling 3,500 Units More Than Break-even:

If the company sells 3,500 units more than the break-even units, then the total units sold would be:

Total units sold = Break-even units + Additional units sold

Total units sold = 29,239 + 3,500

Total units sold = 32,739

Profit = (Total units sold) * (Contribution margin per unit) + (Fixed manufacturing costs) + (Fixed selling and administrative costs)

Profit = 32,739 * $20.00 + $335,000 + $249,780

After calculating the above expression, we will get the profit for the company.

Calculation of Selling Price for Not Selling Any Backpacks:

If the manufacturer does not sell any backpacks, the profit would be zero as there would be no revenue. Therefore, the selling price at which the manufacturer is better off not selling any backpacks would be the selling price that covers all the costs but results in zero profit.

Total cost per unit = Fixed manufacturing costs + Fixed selling and administrative costs + Variable manufacturing cost per unit + Variable selling and administrative cost per unit

Total cost per unit = $335,000 + $249,780 + $60.00 + $3.00

Selling price for not selling any backpacks = Total cost per unit

Selling price for not selling any backpacks = $335,000 + $249,780 + $60.00 + $3.00

After calculating the above expression, we will get the selling price at which the manufacturer is better off not selling any backpacks.

Step-by-step explanation: