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wlad13 [49]
3 years ago
10

7. Gold Company has budgeted the following costs for the production of its only product: Direct Materials $75,000 Direct Labor 5

0,000 Variable indirect production costs 25,000 Fixed indirect production costs 27,500 Variable selling and administrative costs 7,500 Fixed selling and administrative costs 15,000 Total Costs $200,000 Gold Company wants a profit of $100,000, and expects to produce 2,500 units. The market price is $125 per unit. What is the target cost per unit of the product
Business
1 answer:
STatiana [176]3 years ago
3 0

Answer:

$68 = unitary variable cost

Explanation:

Giving the following formula:

Gold Company wants a profit of $100,000

Production= 2,500 units

Selling price= $125

Fixed indirect production costs 27,500

Fixed selling and administrative costs 15,000

<u>To calculate the target total unitary variable cost, we need to use the following formula:</u>

number of units sold= (desired profit + fixed costs) / (selling price - unitary variable cost)

2,500= (100,000 + 27,500 + 15,000) / (125 - unitary variable cost)

312,500 - 2,500unitary variable cost = 142,500

170,000 = 2,500unitary variable cost

$68=unitary variable cost

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Answer:

See explanation

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We first calculate weighted avg total break even point.

The formula or this is,

Total Break even = Total fixed costs / Weighted avg contribution

Weighted avg contribution = (Contribution of A12 * Weight of A12) + (Contribution of B22 * Weight of B22) + (Contribution of C124 * Weight of C124)

Contribution/ Product =

A12 = 61 - 43 = $18

B22 = 108 - 78 = $30

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Thus,

Weighted avg Contribution = (18*0.56) + (30*0.27) + (97*0.17) = $34.67

Total Break even = 249624/ 34.67 = 10085 units in total

Simply multiply total break even units with each products weight to calculate qty for each product to b produced.

A12 = 10085*0.56 = 5647.6 units

B22 = 10085*0.27 = 2722.94 units

C124 = 10085*0.17 = 1714.45 units

as per the sales mix.

We can also calculate how many units of each individual product are required for break even as,

A12 = 249624/18 = 13868 units

B22 = 249624/30 = 8320.8 units

C124 = 249624/97 = 2573.44 units

Hope that helps.

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