Question

Martinez Corporation has collected the following information after its first year of sales. Sales were $1,250,000 on 125,000 units, selling expenses $250,000 (40% variable and 60% fixed), direct materials $496,000, direct labor $34,900, administrative expenses $280,000 (20% variable and 80% fixed), and manufacturing overhead $358,000 (70% variable and 30% fixed). Top management has asked you to do a CVP analysis so that it can make plans for the coming year. It has projected that unit sales will increase by 10% next year.

Compute (1) the contribution margin for the current year and the projected year, and (2) the fixed costs for the current year. (Assume that fixed costs will remain the same in the projected year.) (1) Contribution margin for current year $ Contribution margin for projected year $ (2) Fixed Costs $ Compute the break-even point in units and sales dollars for the current year. (Round intermediate calculations to 2 decimal places e.g. 2.25 and final answers to 0 decimal places, e.g. 1,225.) Break-even point in units units Break-even point in dollars $ The company has a target net income of $202,000. What is the required sales in dollars for the company to meet its target? (Round answer to 0 decimal places, e.g. 1,225.) Sales dollars required for target net income $ If the company meets its target net income number, by what percentage could its sales fall before it is operating at a loss? That is, what is its margin of safety ratio? (Round answer to 1 decimal place, e.g. 10.5.) Margin of safety ratio %

Answer 1

Sales	$   1,250,000
Variable Costs
Direct Material	$      496,000
Direct Labor	$         34,900
Manufacturing Overhead	$      250,600	=358000*70%
Selling Expenses	$      100,000	=250000*40%
Adminstrative Expenses	$         56,000	=280000*20%
Total Variable Costs	$      937,500
Contribution Margin	$      312,500
Fixed Costs
Manufacturing Overhead	$      107,400	=358000*30%
Selling Expenses	$      150,000	=250000*60%
Adminstrative Expenses	$      224,000	=280000*80%
Total Fixed Costs	$      481,400
Net Operating Income	$    (168,900)

(1) Contribution Margin for Current Year = $312500

(2) Fixed Costs for Current Year = $481400

(3) Break even point (Units) = Fixed Costs / Contribution Margin per unit
= $481400 / 2.5 = 192560 units
Contribution Margin per unit = $312500 / 125000 = $2.5 per unit

(4) Break even point (Dollars) = 192560 x $10 = $1925600

(5) Required Sales for target net income = (Fixed Costs+Desired Profit) / Contribution Margin Ratio
= ($481400+202000) / 25% = $2733600
Contribution Margin Ratio = $312500 / 1250000 = 25%

(6) Margin of Safety = ($2733600-1925600) / 2733600 = 29.56%