In: Accounting
1. An entity manufactures 4 products:
A |
C |
E |
F |
||
CM/Unit |
$21.16 |
$30.93 |
$26.07 |
$36.62 |
|
Kg of Y used |
1 |
6 |
10 |
2 |
|
KG of X used |
3.00 |
4.00 |
8.32 |
7.89 |
|
Expected demand (units) |
3880 |
1831 |
953 |
3867 |
Material X is very scarce and it is anticipated that only 24324 kg
will be available next year. There is expected to be 200,000 kg of
material Y available. What is the maximum contribution margin that
can be achieved next year?
Select one:
a. $280343
b. $223087
c. $155529
d. $163611
2.
Duvel Ltd. currently manufactures three products: X, Y, and Z. Results from the previous fiscal year for these products are presented below:
Product X |
Product Y |
Product Z |
|
Sales - units |
7262 |
5170 |
9810 |
Sales price per unit |
$76 |
$42 |
$64 |
Variable cost per unit |
$56 |
$35 |
$34 |
Fixed costs |
$94419 |
$58822 |
$159089 |
Duvel is considering eliminating Product Y in order to focus their efforts on its other two products.
The discontinuation of Product Y is expected to cause the following changes:
A 16% increase in the production and sales of Product X |
|
A 6% decrease in the production and sales of Product Z |
|
63% of the fixed costs of Product Y will be eliminated |
What is the incremental (change in) income of the company if
Product Y is discontinued?
Select one:
a. $887
b. $6448
c. $-30610
d. $42638
1. d. $163611
A | C | E | F | Total | |
CM/Unit | $21.16 | $30.93 | $26.07 | $36.62 | |
Expected Demand | 3880 | 1831 | 953 | 3867 | |
Kg of Y used | 1 | 6 | 10 | 2 | |
Total Y | 3880 | 10986 | 9530 | 7734 | 32130 |
Kg of X used | 3 | 4 | 8.32 | 7.89 | |
Total X | 11640 | 7324 | 7928.96 | 30510.63 | 57403.59 |
CM/Kg of X required | $7.05 | $7.73 | $3.13 | $4.64 | |
Ranking | 2 | 1 | 4 | 3 | |
Products as per Ranking | C | A | F | E | |
Total Kg of X available | 24324 | 17000 | 5360 | 0 | |
Used for Production | 7324 | 11640 | 5360 | 0 | |
Balance for next best product | 17000 | 5360 | 0 | 0 | |
Units Produced | 1831 | 3880 | 679 | 0 | |
CM/Unit | $30.93 | $21.16 | $36.62 | $26.07 | |
Total CM | $56,632.83 | $82,100.80 | $24,877.47 | $0.00 | $1,63,611 |
2. b. $6448
Existing Income:
X | Y | Z | Total | |
Sales-Units | 7262 | 5170 | 9810 | |
Sales price per unit | $76 | $42 | $64 | |
Variable cost per unit | $56 | $35 | $34 | |
Contribution p.u | $20 | $7 | $30 | |
Total Contribution | $1,45,240 | $36,190 | $2,94,300 | $4,75,730 |
Fixed Cost | $3,12,330 | |||
Net Income | $1,63,400 |
Change in Income:
X | Z | Total | ||
Sales-Units | 8424 | 9221 | =7262*(1+16%);=9810*(1-6%) | |
Sales price per unit | $76 | $64 | ||
Variable cost per unit | $56 | $34 | ||
Contribution p.u | $20 | $30 | ||
Total Contribution | $1,68,478 | $2,76,642 | $4,45,120 | |
Fixed Cost | $2,75,272 | =94419+(58822*(1-63%))+159089 | ||
Net Income | $1,69,848 |
Difference = $169848-$163400=$6448