Question
I keep getting the wrong answer please assist I need help with #6 question Determine the maximum operating income possible with the expanded plant. Portmann
I keep getting the wrong answer please assist
I need help with #6 question Determine the maximum operating income possible with the expanded plant.
Portmann Company, operating at full capacity, sold 1,000,000 units at a price of $188 per unit during the current year. Its income statement is as follows:
Sales$188,000,000
Cost of goods sold(101,000,000)
Gross profit$87,000,000
Expenses:
Selling expenses$14,000,000
Administrative expenses13,600,000
Total expenses(27,600,000)
Operating income$59,400,000
The division of costs betweenvariableandfixedis as follows:
Variable Fixed
Cost of goods sold. 70% 30%
Selling expenses 75% 25%
Administrative expenses 50% 50%
Management is considering a plant expansion program for the following year that will permit an increase of $13,160,000 in yearly sales. The expansion will increase fixed costs by $4,500,000 but will not affect the relationship between sales and variable costs.
1.Determine the total variable costs and the total fixed costs for the current year.
Total variable costs $ 88,000,000
Total fixed costs. $40,600,000
2.Determine (a) the unit variable cost and (b) theunit contribution marginfor the current year.
Unit variable cost. $88.00
Unit contribution margin $100.00
3.Compute the break-even sales (units) for the current year.
406,000 units
4.Compute the break-even sales (units) under the proposed program for the following year.
451,000 units
5.Determine the amount of sales (units) that would be necessary under the proposed program to realize the $59,400,000 of operating income that was earned in the current year.
1,045,000 units
6.Determine the maximum operating income possible with the expanded plant.
HINT for figuring out the problem: 6. Determine the increase in units by dividing the sales increase by the price per unit. Add the additional revenue and additional fixed costs when calculating:
Sales minus fixed and variable costs equals income from operations.
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