Contribution Margin Ratio
The study case
Allen Company sells flags with team logos. Allen has fixed costs of $ 583 comma 200$583,200
per year plus variable costs of $ 4.80$4.80 per flag. Each flag sells for $ 12.00$12.00.
Requirements
1. Use the equation approach to compute the number of flags Allen must sell each year to break even.
2. Use the contribution margin" rel="nofollow">in ratio approach to compute the dollar sales Allen needs to earn
$ 33 comma 000$33,000 in" rel="nofollow">in operatin" rel="nofollow">ing in" rel="nofollow">income for 20162016.
(Round the contribution margin" rel="nofollow">in ratio to two decimal places.)3. Prepare Allen's contribution margin" rel="nofollow">in in" rel="nofollow">income statement for the year ended December
3131, 20162016, for sales of 70 comma 00070,000 flags. (Round your fin" rel="nofollow">inal answers up to the next whole number.)4. The company is considerin" rel="nofollow">ing an expansion that will in" rel="nofollow">increase fixed costs by 21
%21%
and variable costs by $ 0.60$0.60 per flag. Compute the new breakeven poin" rel="nofollow">int in" rel="nofollow">in units and in" rel="nofollow">in dollars. Should
Allen undertake the expansion? Give your reasonin" rel="nofollow">ing. (Round your fin" rel="nofollow">inal answers up to the next whole number.)
Requirement 1. Use the equation approach to compute the number of flags Allen must sell each year to break even. First, select the formula to compute the required sales in" rel="nofollow">in units to break even.
Net sales revenue - Variable costs - Fixed costs = Target profit
Rearrange the formula you determin" rel="nofollow">ined above and compute the required number of flags to break even.
The number of flags AllenAllen must sell each year to break even is 8100081000.
Requirement 2. Use the contribution margin" rel="nofollow">in ratio approach to compute the dollar sales Allen
needs to earn $ 33 comma 000$33,000 in" rel="nofollow">in operatin" rel="nofollow">ing in" rel="nofollow">income for 20162016. (Round the contribution margin" rel="nofollow">in ratio to two decimal places.)
Begin" rel="nofollow">in by showin" rel="nofollow">ing the formula and then enterin" rel="nofollow">ing the amounts to calculate the required sales dollars to earn $ 33 comma 000$33,000 in" rel="nofollow">in operatin" rel="nofollow">ing in" rel="nofollow">income. (Round the required sales in" rel="nofollow">in dollars up to the
nearest whole dollar. For example, $10.25 would be rounded to $11. Abbreviation used: CM = contribution margin" rel="nofollow">in.)
( Fixed costs + Target profit ) / CM ratio = Required sales in" rel="nofollow">in dollars
( $583,200 + $33,000 ) / 60.00 % = $1,027,000
Requirement 3. Prepare Allen's contribution margin" rel="nofollow">in in" rel="nofollow">income statement for the year ended
December 3131, 20162016, for sales of 70 comma 00070,000 flags. (Round your fin" rel="nofollow">inal answers up to the next whole number.) (Use parentheses or a min" rel="nofollow">inus sign for an operatin" rel="nofollow">ing loss.)
Allen Company
Contribution Margin" rel="nofollow">in Income Statement
Year Ended December 31, 2016
Sales Revenue $840,000
Variable Costs 336,000
Contribution Margin" rel="nofollow">in 504,000
Fixed Costs 583,200
Operatin" rel="nofollow">ing Income (Loss) $(79,200)
The company is considerin" rel="nofollow">ing an expansion that will in" rel="nofollow">increase fixed costs by 21 %21%
and variable costs by $ 0.60$0.60 per flag. Compute the new breakeven poin" rel="nofollow">int in" rel="nofollow">in units and in" rel="nofollow">in dollars. Should Allen undertake the expansion? Give your reasonin" rel="nofollow">ing. (Round your fin" rel="nofollow">inal answers up to the
next whole number.) (Use the equationapproach.) Begin" rel="nofollow">in by selectin" rel="nofollow">ing the formula to compute the required sales in" rel="nofollow">in units to break even under the expansion plan.
Net sales revenue - Variable costs - Fixed costs = Target profit
Rearrange the formula you determin" rel="nofollow">ined above and compute the required number of flags to break even under the expansion plan. Under the expansion plan, the breakeven poin" rel="nofollow">int in" rel="nofollow">in units would be
106920106920 flags.
Under the expansion plan, the breakeven poin" rel="nofollow">int in" rel="nofollow">in dollars would be $12830401283040.
Should Allen undertake the expansion? Give your reasonin" rel="nofollow">ing. Allen
should only undertake the expansion if expected profits from the expansion
are greater than the expected costs.