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eimsori [14]
3 years ago
9

Ida Sidha Karya Company is a family-owned company located in the village of Gianyar on the island of Bali in Indonesia. The comp

any produces a handcrafted Balinese musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $990. Selected data for the company’s operations last year follow:
Units in beginning inventory 0
Units produced 250
Units sold 230
Units in ending inventory 20
Variable costs per unit:
Direct materials $145
Direct labor $365
Variable manufacturing overhead $40
Variable selling and administrative $ 25
Fixed costs:
Fixed manufacturing overhead $65,000
Fixed selling and administrative $ 29,000
The absorption costing income statement prepared by the company’s accountant for last year appears below:

Sales $ 227,700
Cost of goods sold 186,300
Gross margin 41,400
Selling and administrative expense 34,750
Net operating income $ 6,650

1. Under absorption costing, how much fixed manufacturing overhead cost is included in the company's inventory at the end of last year?
2. Prepare an income statement for last year using variable costing. What is the amount of the difference in net operating income between the two costing methods?
Business
1 answer:
viktelen [127]3 years ago
7 0
The person above me is right
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The total cost​ (in dollars) of manufacturing x auto body frames is ​C(x)=60,000+400x. ​(A) Find the average cost per unit if 20
Nesterboy [21]

Answer:

a) Average price per unit = 700

b) average marginal cost = -1.5 dollars/frame

c) For 201 frames are produced = $698.5

Explanation:

Given Data:

C(x) = 60000 + 400x

a) Average cost for 200 units:

Total Cost of 200 units will be:

C(200) = 60000 + 400(200)

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Total Cost of 200 units = 140,000

Average price per unit = Total Cost / number of units

Average price per unit = 140,000/200

Average price per unit = 700

b) Marginal Average Cost:

We know that marginal cost = C^{'}(x)

And the average marginal cost = \frac{d}{dx} \frac{C(x)}{x}

So,

= the derivative of (\frac{60,000 + 400(x)}{x})

= the derivative of (\frac{(60,000)}{x} + 400)

= \frac{-60,000}{x^{2} } + 0

So,

average marginal cost = \frac{-60,000}{x^{2} }

at x = 200 units

average marginal cost = \frac{-60,000}{200^{2} }

average marginal cost = -1.5 dollars/frame

c) Average cost per frame if 201 frames are produced:

We already seen in the part b that, the average marginal cost is decreasing by 1.5 dollars /frame. So,

if 201 frames are produced the instead of 200 then the difference is of 1 frame and we discussed that average marginal cost of 1 frame is decreasing at 1.5 dollars per frame.

So,

As we know the average cost from part a = 700 dollars.

Therefore, for 201 item = 700 dollars -1.5 dollars

For 201 frames are produced = $698.5

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