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kobusy [5.1K]
3 years ago
15

Howard Enterprises, which has three departments, recently reported the following results: A B C Sales revenue $ 12,000 $ 48,000

40,000 Less: Operating costs 11,400 59,800 50,500 Operating income (loss) $ 600 $ (11,800 ) $ (10,500 ) The company incurred variable operating costs as well as $25,000 of fixed operating costs. The $25,000 amount was allocated to A, B, and C on the basis of sales revenue and is included in the cost figures noted above. Which department(s), if any, should be closed if none of the fixed operating costs can be avoided
Business
1 answer:
almond37 [142]3 years ago
7 0

Answer:

<em>Department C should be closed</em>

Explanation:

To determine whether or not it will be profitable to drop a loss making department, we compare the savings in fixed cost to the lost contribution from the division.

For Howard Enterprises, the department with a negative contribution should be closed otherwise its operation would reduce the overall profit by the amount of the negative contribution.

So lets work out the contribution for each department by adding back the apportioned fixed cost. See table below

                                                           A                B                C

                                                            $                $                $             Total

Sales Revenue                               12,000      48,000        40,000    100,000

Operating cost                              11,400        59,800        50,500

Operating income                           600         (11,800)        (10,500)

*Add back apportioned fixed cost<u> 3,000       12,000        10,000</u>

Contribution                                   3,600        200            (500)

*Apportioned fixed cost

A- 12,000/100,000× 25,000 = 3,000

B- 48,000/100000   × 25,000 = 12,000

C- 40,000/100,00×25,000 = 10,000

From the above analysis, Department C generates a negative contribution.<em> It implies that it can barely cover its direct cost and so will deplete the total profit by its negative contribution. Hence, it should be closed</em>

<em>Department C should be closed</em>

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The residents of cities A, B, C, D and E consume wi-fi routers, with consumption in each city is 150 routers (see the map below)
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Answer:

a. The production process shows that the more the quantity produced, the less the average cost of production.  It proves that there are advantages arising from economies of scale.

AC with Q = 150 = $10 ($1,500/150) and

AC with Q = 750 = $2 ($1,500/750)

b. The optimal arrangement is (centralized production) to produce the 750 routers at city C and ship to the 4 other cities.

c. AC with Q = 150 = $10 (14000/(150+1250) and

AC with Q = 750 = $7 (14000/(750+1250)

d. The cost-minimizing arrangement of production in this case is decentralized production.

e. The average cost of producing 150 units at the various cities has remained unchanged while the average cost of producing the 750 units at city C has increased from $2 to $7.

f. Suppose now production costs are those given in part (a) but let shipping cost per router be given by t (in the preceding discussion, we had t = 6, now we assume we don’t know the cost of shipping).

The value of t that would make the two arrangements for production (centralized versus separate factories) equivalent in terms of cost is:

t = $10 per router

Therefore, centralized production cost will be equal to $7,500 ($1,500 + ($10 * 600), and decentralized production cost will remain at $7,500 (750 * $10).

Explanation:

a) Data and Calculations:

Cities with consumers of wi-fi routers = A, B, C, D and E

Demand for routers by each city = 150

Total number of routers required = 750 (150 * 5)

b) Suppose the average cost of producing a router is AC (Q) = 1500/Q, where Q is the number of routers produced in a factory:

Therefore AC with Q = 150 = $10 ($1,500/150) and

AC with Q = 750 = $2 ($1,500/750)

Cost of Production of routers in city C:

cost of producing 750 routers at $2 per router = $1,500

Shipping cost of 600 routers to 4 cities at $6 per router = $3,600

Total cost of producing at city C = $5,100 ($1,500 + $3,600)

Total cost of producing 750 routers at 5 cities = $7,500 ($1,500/150 * 750)

c) Suppose the average cost of producing a router is AC = 14000/(Q+1250):

Therefore, AC with Q = 150 = $10 (14000/(150+1250) and

AC with Q = 750 = $7 (14000/(750+1250)

Cost of Production of routers in city C:

cost of producing 750 routers at $7 per router = $5,250

Shipping cost of 600 routers to 4 cities at $6 per router = $3,600

Total cost of producing at city C = $8,850 ($5,250 + $3,600)

Total cost of producing 750 routers at 5 cities = $7,500 ($1,500/150 * 750)

d) $7,500 = $1,500 + tQ

where Q = 600 (150 * 4)

Therefore, $7,500 - $1,500 = t600

simplifying

t600 = $6,000

t = $6,000/600 = $10

4 0
3 years ago
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