Requirement 1 | | | | | | | | |
| Units | Price | Totals | Per Unit | | | | |
Sales | 60,000 | $12.50 | $750,000 | | | | | |
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Variable Costs: | | | | | | | | |
Direct Materials | 60,000 | $3.00 | $180,000 | | | | | |
Direct Labor | 60,000 | $1.50 | $90,000 | | | | | |
Variable Manufacturing Overhead | 60,000 | $0.40 | $24,000 | | | | | |
Variable Selling Overhead | 60,000 | $1.10 | $66,000 | | | | | |
Total Variable Costs: | 60,000 | $6.00 | $360,000 | 6.00 | | | | |
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Contribution Margin | 60,000 | | $390,000 | 6.50 | | | | |
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Fixed Costs: | | | $ | | | | | |
Fixed Manufacturing Overhead | | | $216,000.00 | | | | | |
Fixed Adminisration Cost | | | $79,525.00 | | | | | |
Total Fixed Costs: | 60,000 | | $295,525.00 | 4.93 | | | | |
Net Income Before Tax | | | $94,475.00 | | | | | |
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Requirement 2 | | | | | | | | |
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Contribution Margin per Unit in Dollars = Selling Price Variable Costs | | | | | | |
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Selling Price | | Variable Costs | Contribution Margin per Unit | | | | | |
$12.50 | | $6.00 | $6.50 | | | | | |
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Contribution Margin Ratio = Contribution Margin/Selling Price | | | | | | |
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Contribution Margin | | Selling Price | Contribution Margin Ratio | | | | | |
$6.50 | | $12.50 | 52% | | | | | |
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Requirement 3 | | | | | | | | |
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Break-Even Point = Fixed Costs / Contribution Margin | | | | | | | |
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Fixed Costs | | Contribution Margin | Break-Even Point in Units (Rounded) | | | | |
$295,525 | | $6.50 | 45,465 | | | | | |
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Break-Even Point in Units X Selling Price per Unit = Break-Even Point Sales | | | | | | |
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Break-Even Point in Units | | Selling Price per Unit | Break-Even Point in Sales (Rounded) | | | | |
45,465 | | $12.50 | $568,317 | | | | | |
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Requirement 4A | | | | | | | | |
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Margin of Safety in Units = Current Unit Sales Break-Even Point in Unit Sales | | | | | | |
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Current Unit Sales | | Break-Even Point in Sales | Margin of Safety in Units | | | | | |
60,000 | | 45,465 | 14,535 | | | | | |
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Requirement 4B | | | | | | | | |
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Margin of Safety in Dollars = Current Sales in Dollars Break-Even Point Sales in Dollars | | | | | | |
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Current Sales in Dollars | | Break-Even Point in Dollars | Margin of Safety in Dollars | | | | | |
$750,000 | | $568,317 | $181,683 | | | | | |
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Requirement 4C | | | | | | | | |
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Margin of Safety as a Percentage = Margin of Sales in Units / Current Unit Sales | | | | | | |
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Margin of Safety in Units | | Current Unit Sales | Margin of Safety Percentage | | | | | |
60,000 | | 45,465 | 24.22% | | | | | |
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Requirement 5 | | | | | | | | |
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Degree of Operating Leverage = Contribution Margin / Operating Income | | | | | | |
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Contribution Margin | | Operating Income | Operating Leverage | | | | | |
$390,000.00 | | $94,475.00 | 4.1281 | | | | | |
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Requirement 6 | | | | | | | | |
| Units | $ Per Unit | Totals | | | | | |
Sales | 60,000 | $12.50 | $750,000 | | | | | |
Variable Costs | 60,000 | $6.00 | $360,000.00 | | | | | |
Fixed Costs | | $4.93 | $295,525.00 | | | | | |
Net Income | | | $94,475.00 | | | | | |
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Operating Leverage | | Times % Increase | Increase would be XX% | | | | | |
4.1281 | | 0.2 | 0.825615242 | | | | | |
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Prior Income | $94,475.00 | From Part 1 | | | | | | |
Increase | $18,895.00 | Prior Income X XX% Above | | | | | | |
Total | $113,370.00 | | | | | | | |
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Below are calculations to prove that the percentage increase is correct based on the operating leverage calculated in step 5: | | | | |
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72000 | Total Units with 20% Increase | | | | | | |
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$900,000.00 | Sales | | | | | | | |
$432,000.00 | Variable Costs with 20% Increase | | | | | | |
$468,000.00 | New Contribution Margin | | | | | | |
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4.128076211 | Operating Leverage | | | | | | | |
X | | | | | | | | |
$113,370.00 | Increased NI | | | | | | | |
$468,000.00 | New Contibution Margin | | | | | | |
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Requirement 7 | | | | | | | | |
Targeted Income=150,000 | | | | | | | | |
Targeted Income = (Fixed Costs + Target Income) / Contribution Margin | | | | | | |
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Fixed Costs + Target Income | | Divided by Contribution Margin | # of Units (Rounded) | | | | | |
Fixed Costs | $295,525 | $6.50 | 45,465 | | | | | |
Target Income | $150,000 | $6.50 | 23077 | | | | | |
Total | $445,525 | $ | 68,542 | | | | | |
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| | # of Units Above X $ Per Unit | | | | | | |
Proof | Revenue | XX,XXX X $XX.XX | $856,779 | | | | | |
| Variable Costs | XX,XXX X $X.XX | $411,254 | | | | | |
| Contribution Margin | | $445,525 | | | | | |
| Fixed Costs | | $295,525 | | | | | |
| Net Income | | $150,000 | | | | | |
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Requirement 8 | | | | | | | | |
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Sales Mix | | | | | | | | |
| Current | Specialty | Total | | | | | |
Expected Sales Units | 60,000 | 5,000 | 65,000 | | | | | |
Revenue = Sales X Price | $750,000 | $55,000 | 805,000 | | | | | |
Variable Costs X Units | $360,000 | #REF! | #REF! | | | | | |
Contribution Margin | $390,000 | #REF! | #REF! | | | | | |
Fixed Costs | $295,525 | $15,000 | 310,525 | | | | | |
Operating Income | | | #REF! | | | | | |
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Prior Net Income From Requirement 1 | | $94,475.00 | | | | | |
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Additional Operating Income | (Operating Income Above Less Prior Income) | #REF! | | | | | |
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Requirement 1 | | | | | | | | |
Hampshire Company | | |
Variable Costing Income Statement | | |
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| Units | $ | | | | | | |
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Sales | 60,000 | $12.50 | | | | $750,000.00 | | |
Variable Cost of Goods Sold: | | | | | | | | |
Beginning Inventory | 0 | | | | $0 | | | |
Direct Materials | 80,000 | $3.00 | | | $240,000 | | | |
Direct Labor | 80,000 | $1.50 | | | $120,000 | | | |
Manufacturing Overhead | 80,000 | $0.40 | | | $32,000 | | | |
Total Variable Costs | | $4.90 | | | $392,000.00 | | | |
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Cost of Good Available for Sale | | | | | $392,000.00 | | | |
Deduct Ending Inventory | 20,000 | $4.90 | | | $98,000.00 | | | |
Variable Costs of Goods Sold | | | | | | $294,000.00 | | |
Variable Selling Costs | 60,000 | $1.10 | | | $ | $66,000.00 | | |
Contribution Margin | | | | | | $390,000.00 | | |
Fixed Costs: | | | | | | | | |
Fixed Manufacturing Costs | | | | | | $216,000 | | |
Fixed Administrative Costs | | | | | | $79,525 | | |
Operating Income | | | | | | $94,475.00 | | |
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Requirement 2 | | | | | | | | |
Hampshire Company | | |
Absorption Costing Income Statement | | |
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| Units | $ | | | | | | |
Sales | 60,000 | $12.50 | | | | $750,000.00 | | |
Variable Cost of Goods Sold: | | | | | | | | |
Beginning Inventory | 0 | | | | $0.00 | | | |
Direct Materials | 80,000 | $3.00 | | | $240,000.00 | | | |
Direct Labor | 80,000 | $1.50 | | | $120,000.00 | | | |
Manufacturing Overhead | 80,000 | $0.40 | | | $32,000.00 | | | |
Total Variable Costs | | | | | $392,000.00 | | | |
Allocated Fixed Manufacturing Costs | 80,000 | $0.00 | | | $0.00 | | | |
Cost of Good Available for Sale | | | | | $392,000.00 | | | |
Deduct Ending Inventory | 20,000 | $4.90 | | | $98,000.00 | | | |
Costs of Goods Sold | | | | | | $294,000.00 | | |
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Gross Margin | | | | | | $456,000.00 | | |
Fixed Costs: | | | | | | | | |
Variable Selling Costs | 60,000 | $1.10 | | | | $66,000 | | |
Fixed Administrative Costs | | | | | | $79,525 | | |
Operating Income | | | | | | $310,475.00 | | |
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Requirement 1 | | | | | | | | |
Price Variances: | | | | | | | | |
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(Actual Price Standard Price) X Actual Quantity | | | | | | | |
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| Actual | Standard | Actual Quantity | Variance | Favorable or Unfavorable | |
Cloth | $1.25 | $1.15 | 128,000 | 12800.00 | U | | | |
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Handle Assembly | $0.99 | $1.05 | 80,808 | -4848.48 | F | | | |
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Labor Price Variance | $7.62 | $7.50 | 15,748 | 1889.76 | U | | | |
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Requirement 2 | | | | | | | | |
Efficiency Variances: | | | | | | | | |
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(Actual Quantity of Input Used Standard Quantity of Input Allowed for Actual Output) X Budgeted Price of Input | | | | | |
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| Actual | Standard | Standard Price | Variance | Favorable or Unfavorable | |
Cloth | 128,000 | 120,000 | $1.15 | 9200.00 | U | | | |
(1.5 Yards per Unit) | | | | | | | | |
Handle Assembly | 80,808 | 80,000 | $1.05 | 848.40 | U | | | |
(1 per Unit) | | | | | | | | |
Labor | 15,748 | 16,000 | $7.50 | -1890.00 | F | | | |
(.20 per Unit) | | | | | | | | |
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Cost Information From Instructions | | | | | | | |
| Stick | Collapsible | Quantity of Cost Allocation Base | | | | | |
Units Sold | 60,000 | 3,000 | 63,000 | | | | | |
Selling Price | $12.50 | $14.00 | 27 | | | | | |
Direct Material Cost Per Unit | $3.00 | $3.10 | 6 | | | | | |
Direct Labor Cost Per Hour | $7.50 | $8.00 | 16 | | | | | |
Variable MO | $0.40 | $0.40 | 1 | | | | | |
Variable Selling Costs | $1.10 | $1.10 | 2 | | | | | |
Labor Hours Per Unit | 0.2 | 0.2 | 0 | | | | | |
Sales Orders | 120 | 1 | 121 | | | | | |
Purchase Orders | 50 | 3 | 53 | | | | | |
Production Runs | 45 | 6 | 51 | | | | | |
Material Moves | 86 | 10 | 96 | | | | | |
Machine Setups | 130 | 6 | 136 | | | | | |
Machine Hours | 525 | 32 | 557 | | | | | |
Inspections | 200 | 10 | 210 | | | | | |
Shipments | 60 | 3 | 63 | | | | | |
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Activity Information from Instructions | | | | | | | |
Activity | Activity Cost | Activity Cost Driver | | | | | | |
Order Processing | $35,000 | Number of Sales Orders | | | | | | |
Purchasing | $36,000 | Number of Purchase Orders | | | | | | |
Material Handing | $28,000 | Material Moves | | | | | | |
Machine Setup | $14,000 | Machine Setups | | | | | | |
Production | $99,000 | Production Runs | | | | | | |
Assembly | $80,000 | Machine Hours | | | | | | |
Inspecting | $11,000 | Number of Inspections | | | | | | |
Shipping | $7,500 | Number of Shipments | | | | | | |
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Requirement 1 | | | | | | | | |
Activity | Total Costs | Quantity of Cost Allocation Base | Overhead Allocation Rate | Stick | Collapsible | Stick | Collapsible | |
Order Processing | $35,000 | 121 | $289.26 | 120 | 1 | 34,711 | $289.26 | |
Purchasing | $36,000 | 53 | $679.25 | 50 | 3 | 33,962 | $2,037.74 | |
Material Handing | $28,000 | 96 | $291.67 | 86 | 10 | 25,083 | $2,916.67 | |
Machine Setup | $14,000 | 136 | $102.94 | 130 | 6 | 13,382 | $617.65 | |
Production | $99,000 | 51 | $1,941.18 | 45 | 6 | 87,353 | $11,647.06 | |
Assembly | $80,000 | 557 | $143.63 | 525 | 32 | 75,404 | $4,596.05 | |
Inspecting | $11,000 | 210 | $52.38 | 200 | 10 | 10,476 | $523.81 | |
Shipping | $7,500 | 63 | $119.05 | 60 | 3 | 7,143 | $357.14 | |
Totals: | | 1,287 | $3,619.34 | | | 287,515 | $22,985.37 | |
Requirement 2 | | | | | | | | |
Traditional Costing | | | | | | | | |
| Stick Umbrella | Collapsible Umbrella | Total | | | | | |
Revenues | $750,000 | $42,000 | $792,000 | | | | | |
Direct Materials | $180,000 | $9,300 | $189,300 | | | | | |
Direct Labor | $90,000 | $4,800 | $94,800 | | | | | |
Variable Overhead | $24,000 | $1,200 | $25,200 | | | | | |
Variable Selling Costs | $66,000 | $3,300 | $69,300 | | | | | |
Allocated Fixed Overhead | $292,662 | $17,838 | $310,500 | | | | | |
Total Costs | $652,662 | $36,438 | $689,100 | | | | | |
Operating Income | $97,338 | $5,562 | $102,900 | | | | | |
Operating Income % | 12.98% | 13.24% | 12.99% | | | | | |
Per Unit Operating Income | $1.62 | $1.85 | $1.63 | | | | | |
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Requirement 3 | | | | | | | | |
Activity-Based Costing | | | | | | | | |
| Stick Umbrella | Collapsible Umbrella | Total | | | | | |
Revenues | $750,000 | $42,000 | $792,000 | | | | | |
Direct Materials | $180,000 | $9,300 | $189,300 | | | | | |
Direct Labor | $90,000 | $4,800 | $94,800 | | | | | |
Variable Overhead | $24,000 | $1,200 | $25,200 | | | | | |
Variable Selling Costs | $66,000 | $3,300 | $69,300 | | | | | |
Order Processing Costs | $34,711 | $289 | $35,000 | | | | | |
Purchasing Costs | $33,962 | $2,038 | $36,000 | | | | | |
Material Handing Costs | $25,083 | $2,917 | $28,000 | | | | | |
Machine Setup Costs | $13,382 | $618 | $14,000 | | | | | |
Production Costs | $87,353 | $11,647 | $99,000 | | | | | |
Assembly Costs | $75,404 | $4,596 | $80,000 | | | | | |
Inspecting Costs | $10,476 | $524 | $11,000 | | | | | |
Shipping Costs | $7,143 | $357 | $7,500 | | | | | |
Total Costs | $647,515 | $41,585 | $689,100 | | | | | |
Operating Income | $102,485 | $415 | $102,900 | | | | | |
Operating Income % | 14% | 1% | 13% | | | | | |
Per Unit Operating Income | $1.71 | $0.14 | $1.63 | | | | | |
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Requirement 4 | | | | | | | | |
Costs per Unit | Stick Umbrella | Collapsible Umbrella | | | | | | |
Traditional | $1.62 | $1.85 | | | | | | |
ABC | $1.71 | $0.14 | | | | | | |
Difference | -$0.09 | $1.72 | | | | | | |