Question

In: Finance

Sandhill Corp.’s sales slumped badly in 2020. For the first time in its history, it operated...

Sandhill Corp.’s sales slumped badly in 2020. For the first time in its history, it operated at a loss. The company’s income statement showed the following results from selling 585,500 units of product: sales $2,927,500, total costs and expenses $3,035,440, and net loss $107,940. Costs and expenses consisted of the amounts shown below.

Total

Variable

Fixed

Cost of goods sold $2,496,780 $1,920,440 $576,340
Selling expenses 292,750 107,732 185,018
Administrative expenses 245,910 79,628 166,282
$3,035,440 $2,107,800 $927,640

Management is considering the following independent alternatives for 2021.
1. Increase unit selling price 20% with no change in costs, expenses, and sales volume.
2. Change the compensation of salespersons from fixed annual salaries totaling $175,650 to total salaries of $70,260 plus a 5% commission on sales.
Your answer is incorrect. Try again.
Compute the break-even point in dollars for 2020.
Break-even point $
Your answer is incorrect. Try again.
Compute the contribution margin under each of the alternative courses of action.
Contribution margin for alternative 1 %
Contribution margin for alternative 2 %


Compute the break-even point in dollars under each of the alternative courses of action.
Break-even point for alternative 1 $
Break-even point for alternative 2 $

Which course of action do you recommend?

Alternative 1/Alternative 2

Solutions

Expert Solution

required 1;

first let us know the contribution margin;

=> (sales - variable costs) / sales

=>(2,927,500- 2,107,800) / 2,927,500

=>0.28.

break even point = fixed costs / contribution margin

=>927,640 / 0.28

=>3,313,000.

required 2;

contribution margin for alternative 1 0.40
contribution margin for alternative 2 0.23

working

alternative 1

amount of sales = 2927500+20%

=>$3,513,000.

contribution margin = (3,513,000 - 2,107,800) / 3,513,000

=>0.40.

alternative 2;

variable costs =2107800 + (5%*2927500)..............(since variable portion of commission will be new addition to variable cost)

=>2,254,175.

contribution margin = (2,927,500-2,254,175) / 2,927,500

=>0.23.

required 3;

break even point alternative 1 2,319,100
break even point alternative 2 3,575,000

working

alternative 1 break even point = fixed costs / contribution margin

=>927,640 / 0.40

=>2,319,100.

alternative 2;

fixed costs = 927,640 -175,650+70,260 =>822,250.

break even point = 822,250/0.23

=>3,575,000


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