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Hunter-Best [27]
3 years ago
5

Sales total 50,000 units a year. The statues are finished either rough or polished, with an average demand of 60% rough and 40%

polished. Iron ingots, the direct material, costs $5 per pound. Processing costs are $300 to convert 30 pounds into 60 statues. Rough statues are sold for $17 each, and polished statues can be sold for $19 or engraved for an additional cost of $5. Polished statues can then be sold for $23.50. How much would the profits/unit increase by if the Company should engrave the statues?
Business
1 answer:
Tanya [424]3 years ago
5 0

Answer:

It is more profitable to not engrave the statues.

Explanation:

Giving the following information:

Sales= 50,000 units

Polished= 40% of sales

Direct material= $5 per pound

Processing= $300 to convert 30 pounds in 60 statues

Polish= $19 per unit

Engraved= $5 per unit

New selling price= $23,5

We need to determine whether it is more convenient to sell the units engraved or not.

First, we need to calculate the unitary cost of a polished unit.

The total cost of 60 units= 5*30 + 300= $450

Unitary cost (normal)= 450/60= $7.5

Unitary cost (engraved)= 7.5+5= $12.5

Total sales= 50,000*0.4= 20,000 units

Now, we can determine the total contribution margin of both options:

Sell as-is:

Total contribution margin= 20,000*(19-7.5)= $230,000

Engrave:

Total contribtuion margin= 20,000*(23.5 - 12.5)= $220,000

<u>It is more profitable to not engrave the statues.</u>

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Patriot Co. manufactures and sells three products: red, white, and blue. Their unit selling prices are red, $20; white, $35; and
vagabundo [1.1K]

Answer:

a. break even number in units = $250,000 / $10.0908 = 24,775.04

red units = 24,775.04 x 5/11 = 11,261.38 ≈ 11,262 units

total sales = 11,262 x $20 = $225,240

white units = 24,775.04 x 4/11 = 9,009.11 ≈ 9,010 units

total sales = 9,010 x $35 = $315,350

blue units = 24,775.04 x 2/11 = 4,504.55 ≈ 4,505 units

total sales = 4,505 x $65 = $292,825

total sales = $833,415

b. new break even number in units = $300,000 / $19.4545 = 15,420.60

red units = 15,420.60 x 5/11 = 7,009.36 ≈ 7,010 units

total sales = 7,010 x $20 = $140,200

white units = 15,420.60 x 4/11 = 5,607.49 ≈ 5,608 units

total sales = 5,608 x $35 = $196,280

blue units = 15,420.60 x 2/11 = 2,803.75 ≈ 2,804 units

total sales = 2,804 x $65 = $182,260

total sales = $518,740

c. Management should start using the new material as soon as possible since it doesn't only decrease the break even point, if sales level remain the same, it will increase operating profits.

Explanation:

red's contribution margin = $8

white's contribution margin = $13

blue's contribution margin = $12

sales mix = 5:4:2

weighted contribution margin = ($8 x 5/11) + ($13 x 4/11) + ($12 x 2/11) = $3.6363 + $4.2727 + $2.1818 = $10.0908

new contribution margin:

red's contribution margin = $14

white's contribution margin = $25

blue's contribution margin = $22

sales mix = 5:4:2

weighted contribution margin = ($14 x 5/11) + ($25 x 4/11) + ($22 x 2/11) = $6.3636 + $9.0909 + $4 = $19.4545

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