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Kenect Ltd. manufactures a single high-tech product in its Kingston factory. Its tax rate is 40%. Last year it made and sold 25,000 units and
Kenect Ltd. manufactures a single high-tech product in its Kingston factory. Its tax rate is 40%. Last year it made and sold 25,000 units and had the following results: | |||||||
Sales | $1,350,000 | ||||||
Less variable expenses | 742,500 | ||||||
Contribution margin | 607,500 | ||||||
Less fixed expenses | 375,000 | ||||||
Operating income | $232,500 | ||||||
Required: | |||||||
1. (2 marks) Calculate Kenect's break-even point in units and dollars using the above data. | |||||||
2. (2 marks) Calculate the margin of safety in units. | |||||||
3. (4 marks) Calculate the number of units that need to be sold to earn an after-tax profit of $420,000 with its tax rate being 40%. | |||||||
4. (6 marks)Each unit produced currently requires one microchip that costs $7.50 per unit. Kenect is considering using a new, faster microchip that costs $9.90 per unit, and if they do switch to the new chip then fixed maintenance costs would drop by $15,000 per year. If these changes are made with no change to the selling price: | |||||||
a) How many units must be sold next year to earn the same operating income as this year? | |||||||
b) What would the new break-even point be? | |||||||
c) Would Kenect be better off or worse off financially with this change? | |||||||
5. (6 marks) Now assume that no changes in part 4 were implemented (ignore part 4), but Kenect is considering adding a new product to its sales mix. The new product would sell for $95.00/unit and its variable cost would be $50.00/unit. If the new product launches, Kenect will sell 30,000 old products and 20,000 new products (note: Kenect has capacity for 60,000 units so will incur no additional fixed costs). How many units of each product does Kenect need to sell to break even? |
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