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crimeas [40]
2 years ago
9

A producer of felt-tip pens has received a forecast of demand of 31,000 pens for the coming month from its marketing department.

Fixed costs of $21,000 per month are allocated to the felt-tip operation, and variable costs are 25 cents per pen. a. Find the break-even quantity if pens sell for $1 each. (Round your answer to the next whole number.) QBEP units b. At what price must pens be sold to obtain a monthly profit of $18,000, assuming that estimated demand materializes
Business
1 answer:
atroni [7]2 years ago
4 0

Answer:

  • a. <em>Break-even quantity:</em> <u>28,000 pens</u>

  • b<em>. Price</em>: <u>$1.51 per pen</u>

Explanation:

1. Break-even quantity

<u>a) Revenue, R(x)</u>

The  monthly revenue is the product of the price by the number of units sold in the month.

Naming x the number of pens sold in the month:

  • R(x) = $1 × x = x

<u>b) Cost, C(x)</u>

<u />

The monthly cost is the sum of the fixed cost per month plus the variable costs:

  • C(x) = $21,000 + 0.25 × x = 21,000 + 0.25x

<u>c) Break-even</u>

Break-even is the point when the revenue and the total costs are equal, this is, when the profit is zero. Write the equation and solve:

  • x = 21,000 + 0.25x
  • x - 0.25x = 21,000
  • 0.75x = 21,000
  • x = 21,000 / 0.75
  • x = 28,000

Hence, the break-even quantity is 28,000 pens.

2. Price pens must be sold to obtain a monthly profit of $18,000

Profit = Revenue - Total cost

  • P(x) = R(x) - C(x)

  • P(x) = x.p - [ 0.25x + 21,000]

Where p is the price.

  • P(x) = x.p - 0.25x - 21,000

Substitute the quantity demanded, x, with 31,000, and the profit, P(x) with 18,000:

  • 18,000 = 31,000p - 0.25(31,000) - 21,000

Solve for p and compute:

  • 31,000p = 18,000 + 7,750 + 21,000

  • 31,000 p = 46,750

  • p = 1.51

That is $1.51 per pen.

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1 year ago
Suppose you examine the central bank’s balance sheet and observe that since the previous day, reserves had fallen by $100 millio
aksik [14]

Answer:

The Central Bank is trying to increase money supply.

Explanation:

When the Central Bank makes moves to increase reserves, it means that it is simply trying to mop up excess cash from the economy to fight inflation. Spiking inflation means that the power of a currency is gradually being eroded. The Central Bank cannot allow this to happen so it hits the "Reduce Money In Circulation" button. It does this by reviewing upwards, the money reserves which commercial banks must hold with the Central Bank.  

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Cheers!

6 0
3 years ago
At the end of a full year mary garber had $6248.95 in her saving account. If the rate of interest was 12.253%, how much money di
allochka39001 [22]

Answer:

$5,566.84

Explanation:

to determine the amount of money that Mary had in her account at the beginning of the year we can use the resent value formula:

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where:

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4 0
3 years ago
A personal business letter is written by an individual to a company for resolving issues related to an unexpected error on a bil
yarga [219]

Answer:

See the explanation below.

Explanation:

                                                                        62, Charlton Street,

                                                                        Ibadan, Oyo State,

                                                                        Nigeria.

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The Accounting Officer,

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Ibadan, Oyo State,

Nigeria.

Dear Sir,

Complaint Lodgment Over an Unexpected Error in My Bill

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From my recalculation of the total amount for the purchased item, I could observed that the error was due to a transposition of figure by your cashier; he charged me a total sum of $76 instead of $67.

Copies of the invoice and the payment receipt for the items are hereby attached to this letter for your verification. After your verification, kindly get back to me so that I can come to your office for the refund.

I look forward to receiving your usual timely response.

Yours sincerely,

Amcool.

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