### Required Information **Cane Company** manufactures two products called Alpha and Beta that sell for $225 and $175, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 130,000 units of each product. Its average cost per unit for each product at this level of activity is given below: | Cost Component | Alpha | Beta | |----------------------------------------|-------|------| | Direct materials | $42 | $24 | | Direct labor | 42 | 32 | | Variable manufacturing overhead | 26 | 24 | | Traceable fixed manufacturing overhead | 34 | 37 | | Variable selling expenses | 31 | 27 | | Common fixed expenses | 34 | 29 | | **Total cost per unit** | $209 | $173 | The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars. ### Problem Statement Assume that Cane's customers would buy a maximum of 99,000 units of Alpha and 79,000 units of Beta. Also assume that the raw material available for production is limited to 344,000 pounds. What total contribution margin will it earn? **[Input Field: Total contribution margin]**
### Required Information **Cane Company** manufactures two products called Alpha and Beta that sell for $225 and $175, respectively. Each product uses only one type of raw material that costs $6 per pound. The company has the capacity to annually produce 130,000 units of each product. Its average cost per unit for each product at this level of activity is given below: | Cost Component | Alpha | Beta | |----------------------------------------|-------|------| | Direct materials | $42 | $24 | | Direct labor | 42 | 32 | | Variable manufacturing overhead | 26 | 24 | | Traceable fixed manufacturing overhead | 34 | 37 | | Variable selling expenses | 31 | 27 | | Common fixed expenses | 34 | 29 | | **Total cost per unit** | $209 | $173 | The company considers its traceable fixed manufacturing overhead to be avoidable, whereas its common fixed expenses are unavoidable and have been allocated to products based on sales dollars. ### Problem Statement Assume that Cane's customers would buy a maximum of 99,000 units of Alpha and 79,000 units of Beta. Also assume that the raw material available for production is limited to 344,000 pounds. What total contribution margin will it earn? **[Input Field: Total contribution margin]**
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
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Alpha | Beta | |
Sales Price | 225 | 175 |
Variable costs: | ||
Direct materials | 42 | 24 |
Direct labor | 42 | 32 |
Variable manufacturing overhead | 26 | 24 |
Variable selling expense | 31 | 27 |
Total Variable cost | 141 | 107 |
Contribution margin per unit | 84 | 68 |
/Pounds of raw material per unit | 7 | 4 |
Contribution margin per pound | 12.00 | 17.00 |
Ranking | II | I |
Total pounds available of material | 344000 | |
Maximum Units of Beta | 79000 | |
Pounds per units of Beta | 4 | |
Total pounds used in Beta | 316000 | |
Remaining pounds for Alpha | 28000 | |
/Pounds per units of Alpha | 7 | |
Units of Alpha to produce | 4000 | |
Alpha | Beta | |
Units to maximize profits | 4000 | 79000 |
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