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Problem - Alliance Enterprises is considering extensively modifying their manufacturing equipment. The modifications will result in less wastage of materials, which will reduce variable manufacturing costs and introduce changes to the production process that will improve product quality. This will allow Alliance to increase the selling price of the product. Annual fixed costs are expected to increase to $330,000 if the modifications are made. Expected fixed and variable costs as well as the selling prices are shown below:
Cost Item
Existing Equipment
Modified Equipment
Selling price per unit
$8
$10
Variable cost per unit
4
Fixed costs
180,000
330,000
Required -
1. Determine the break-even point in units for the two machines.
2. Determine the sales level in units at which the modified equipment will achieve a 20% target profit-to-sales ratio (ignore taxes).
3. Determine the sales level in units at which the modified equipment will achieve $144,900 in after-tax operating income. Assume a tax rate of 30%.
4. Determine the sales level at which profits will be the same for either the existing or modified equipment.
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