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:
<u>b) Cost, C(x)</u>
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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:
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) = 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
That is $1.51 per pen.
A. is required to draw up a petition listing all assets and liabilities.
Answer:
Henry is the intended beneficiary of the insurance policy and as such, he is bound to the time limitations and all the other clauses included in the contract.
Explanation:
Intended beneficiaries are third parties that can benefit from a contract. Third parties are not part of the contract and may not even know that they were included as beneficiaries in it, but they are bound by all the legal clauses included in the contract. They must be included in the contract and all the benefits they might obtain have to be explicitly established.
Steven needs to create a budget that will list all of his expenses each month with regards to the income he brings in. Once Steven sits down and creates the budget he will see the money that is left over once he is done paying all of his necessary bills. The money that is left over can be saved to purchase a new car.
Answer:
The money you will have is $98020.
Explanation:
It is given that grandparents deposit $2,000 each year on birthday and the account pays 7% interest compounded annually also the time is 21 years.
we will use the compound interest formula 
.
For the first birthday the amount after 21 yr will be:
Similarly for the second birthday amount after 20yr will be:
likewise, the last compound will be:
The total value of such compounding would be
:
![\text {Total amount}=2000[(1+\frac{7}{100})^{21}+(1+\frac{7}{100})^{20}...(1+\frac{7}{100})^{1}]](https://tex.z-dn.net/?f=%5Ctext%20%7BTotal%20amount%7D%3D2000%5B%281%2B%5Cfrac%7B7%7D%7B100%7D%29%5E%7B21%7D%2B%281%2B%5Cfrac%7B7%7D%7B100%7D%29%5E%7B20%7D...%281%2B%5Cfrac%7B7%7D%7B100%7D%29%5E%7B1%7D%5D)
The total amount just after your grandparents make their deposit is:
≈($96020+2000)
≈$98020
Hence, the money you will have is $98020.
