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pochemuha
2 years ago
3

Yanik Company's delivery truck, which originally cost $84,000, was destroyed by fire. At the time of the fire, the balance of th

e Accumulated Depreciation account amounted to $57,000. The company received $48,000 reimbursement from its insurance company. The gain or loss as a result of the fire was
Mathematics
1 answer:
OlgaM077 [116]2 years ago
4 0

Answer:

A gain of $21,000

Step-by-step explanation:

Data Provided in the question;

Original cost of the delivery truck = $84,000

Accumulated Depreciation account amounted at the time of fire = $57,000

Reimbursement received from its insurance company = $48,000

Now,

Book value of the truck at the time of fire

= Original cost - Accumulated Depreciation

= $84,000 - $57,000

= $27,000

Since,

The amount received as the reimbursement from its insurance company is higher than the book value at the time of the fire

Thus, the fire will result in a gain

The amount of gain = Reimbursement received - Book value

= $48,000 - $27,000

= $21,000

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Answer:

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Step-by-step explanation:

we know that

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we have

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The profit  P(q) is equal to

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substitute the given values

P(q)=(3q-0.002q^{2})-(200+2.2q)

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P(q)=-0.002q^{2}+0.8q-200

This is a vertical parabola open downward (because the leading coefficient is negative)

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The y-coordinate of the vertex represent the maximum profit

using a graphing tool

Graph the quadratic equation

The vertex is the point (200,-120)

see the attached figure

therefore

The value of q that maximize the profit is q=200 units

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