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aalyn [17]
3 years ago
10

Blue Ridge Bicycles uses a standard part in the manufacture of several of its bikes. The cost of producing 43,000 parts is $140,

000, which includes fixed costs of $68,000 and variable costs of $72,000. The company can buy the part from an outside supplier for $3.80 per unit, and avoid 30% of the fixed costs. If Blue Ridge Bicycles makes the part, how much will its operating income be?
Business
1 answer:
kifflom [539]3 years ago
8 0

Answer:

$71,000

Explanation:

The computation of operating income is shown below:-

Total costs if company bought = Cost of production × Outside supplier per unit) + (Fixed cost × Remaining percentage)

= (43,000 × $3.80) + ($68,000 × (100% - 30%))

= (43,000 × $3.80) + ($68,000 × 70%)

= $163,400 + $47,600

= $211,000

Loss in Income if part is bought = Total costs if company bought - Total costs originally

= $211,000 - $140,000

= $71,000

Therefore, Making profit will be more by $71,000 and for computing the Loss in Income if part is bought we simply applied the above formula.

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2 years ago
A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by upper c equals 0.
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Answer:

The cost per month is increasing at a rate $365.

Explanation:

Differentiation Formula

  • \frac{d}{dx}(x^n)= nx^{n-1}  
  • \frac{d}{dx}(a)=0             [ where a is a constant]
  • \frac{d}{dx}(ax^n)=a \frac{d}{dx}(x^n)= anx^{n-1}

Given that,

A manufacturer of handcrafted wine racks has determined that the cost to produce x units per month is given by

c=0.2x^2+10,000.

Again given that,

the rate of changing production is 13 unit per month

i.e \frac{dx}{dt}=13

To find the cost per month, we need to find out the value \frac{dc}{dt} when production is changing at the rate 13 units per month and the production is 70 units.

c=0.2x^2+10,000

Differentiating with respect to t

\frac{d}{dt}(c)=\frac{d}{dt}(0.2x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\frac{d}{dt}(x^2)+\frac{d}{dx}(10,000)

\Rightarrow \frac{dc}{dt}=0.2\times 2x^{2-1}\frac{dx}{dt}+0

\Rightarrow \frac{dc}{dt}=0.4x\frac{dx}{dt}

Plugging \frac{dx}{dt}=13

\Rightarrow \frac{dc}{dt}=0.4x\times 13

\Rightarrow \frac{dc}{dt}=5.2x

\frac{dc}{dt}|_{x=70}=5.2\times 70 [ plugging x=70]

            =364

[ The unit of c is not given. Assume that the unit of c is dollar.]

The cost per month is increasing at a rate $365.

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3 years ago
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