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Rose Corporation manufactures a single electronic product called Precisionmix. This unit is a batch-density monitoring device...

Rose Corporation manufactures a single electronic product called Precisionmix. This unit is a batch-density monitoring device attached to large industrial mixing machines used in flour, rubber, petroleum, and chemical manufacturing. Precisionmix sells for $900 per unit. The following variable costs are incurred to produce each Precisionmix device: Direct labor $180 Direct materials 240 Factory overhead 105 Total variable production costs 525 Marketing costs 75 Total variable costs $600 Rose’s income tax rate is 40%, and annual fixed costs are $4,000,000.

Required: a) If Rose Corporation achieves a sales and production volume of 8,000 units, determine the net income (loss).

b) Determine the annual sales revenue to achieve an after tax net income of $540,000.

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Expert Solution

B Selling Price 900 Income Statement:
Variable Costs: Selling Price 7200000
Direct Labor 180 Variable Costs:
Direct Material 240 Direct Labor 1440000
Factory OH 105 Direct Material 1920000
Marketing Costs 75 Factory OH 840000
Total Variable Costs 600 Marketing Costs 600000
Total Variable Costs 4800000
A Contribution Margin 300
Contribution Margin 2400000
A/B Contribution Margin Ratio 33.33% Less: Fixed Costs 4000000
Income Before Tax -1600000
Less: Income Tax 0
Income After Taxes -1600000
Desired After Tax Income 540000
Add: Income Tax 360000
Desired Before Tax Income 900000
Add: Fixed Costs 4000000
A Required Contribution Margin 4900000
B Contribution Margin Ratio 33.33%
A/B Required Annual Sales 14700000

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