In: Accounting
Grange Manufacturing Company had net income of $300,000 in 2017 when the selling price per unit was $200 and data for variable and fixed costs were as follows:
Cost Schedule: |
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Variable Costs: |
Direct Material |
$28 |
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Direct Labour |
$35 |
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Variable Manufacturing Overhead |
$17 |
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$80 |
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Fixed Costs: |
Manufacturing Overhead |
$225,000 |
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Advertising |
45,000 |
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Administrative |
150,000 |
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$420,000 |
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i) Compute the number of units sold in 2017, using the equation method.
iv) Calculate the margin of safety in number of units and sales dollars.
v) Using the sales units calculated in (i), construct a breakeven chart for Grange Manufacturing Company, clearly showing the breakeven point and the margin of safety in units and dollars and the region representing profits and losses. [Use a scale of 2 cm to represent 1,000 units on the x-axis and 2cm to represent $200,000 on the y-axis].
vi) The president of Grange Manufacturing is under pressure from stockholders to increase operating income by 8% in 2018. Management expects per unit data and total fixed costs to remain the same in 2018. Compute the number of units that must be sold in 2018 to reach the shareholders’ desired profit level. Is this a realistic goal?
vii) Assume that Grange Manufacturing sells the same number of units in 2018 as it did in 2017. Assuming unit variable costs and total fixed costs remain unchanged, what would the selling price have to be in order to reach the stockholders’ desired profit level?
Please assist with iv to vii
1 | P.U. | Amount (6000 Units) |
Sales (a) | 200 | 1200000 |
Direct Material | 28 | 168000 |
Direct Labour | 35 | 210000 |
Variable O/H | 17 | 102000 |
Total Variable Cost (b) | 80 | 480000 |
Contribution (b/a) | 120 | 720000 |
Fixed Cost | ||
Manufacturing O/H | 225000 | |
Advertising | 45000 | |
Admin | 150000 | |
Profit | 300000 | |
Contribution = 225000+45000+150000+300000 = 720000 | ||
Unit = Contribution / Contribution per unit | ||
720000/120 = 6000 Units |
(iv) MOS | ||
Break even point = Fixed Cost/Contribution | ||
(420000/120) = 3500 Units | ||
Break even sales value = (3500*200) = 700000 | ||
MoS = Actual Sales - Break even sales | ||
(6000- 3500 ) = 2500 Units | ||
MoS = Actual Sales value - Break even sales value | ||
(1200000-700000) = $500000 |
(vi) | |||||
8% of operating profit = (300000*8%) = 24000 | |||||
Contribution per unit = 120 | |||||
Extra units to be sold for desired profit = Incremental desired profit/ Contribution | |||||
(24000/120) = 200 Units | |||||
Total units to be sold in 2018 for achieving 8 % extra operating income = 6000 + 200 = 6200 units | |||||
Yes Selling of 200 units extra in a year is realistic goal |
(vii) Selling Price, if sell 6000 units and achieved desired profit | |||||
P.U. | Amount (6000 Units) | ||||
Sales (a) | 204 | 1224000 | (744000+480000) | ||
Direct Material | 28 | 168000 | remain unchanged | ||
Direct Labour | 35 | 210000 | remain unchanged | ||
Variable O/H | 17 | 102000 | remain unchanged | ||
Total Variable Cost (b) | 80 | 480000 | remain unchanged | ||
Contribution required (b/a) | 124 | 744000 | required | ||
Fixed Cost | |||||
Manufacturing O/H | 225000 | ||||
Advertising | 45000 | ||||
Admin | 150000 | ||||
Profit | 324000 | (300000*1.08) | |||
Selling Price = $204 | |||||
Note: Do reverse calculation |