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.
Answer:
c. May be able to avoid liability to the extent she had no reason to know of the deficiency (and did not have actual knowledge) when filing the return. The burden of proof will be on her.
Explanation:
The doctrine of <em>innocent spouse relief</em> might apply here. Mrs. Jones will have to prove that:
- the income that was omitted was earned by her husband, not her.
- she must prove that when she signed the tax filings, she was not aware of the omission.
- after examining all the facts surrounding the omission, the IRS must decide that blaming her would not be fair.
Answer:
D.
Explanation:
Firms will hire more labor when the marginal revenue product of labor is greater than the wage rate, and stop hiring as soon as the two values are equal.
On pay day, the employer deposits your NET SALARY into your bank account.
Direct deposit program is a salary payment program in which an employer works together with the bank to deposit the employees salary directly into their accounts on the pay day of each month.
Answer:
12.88%
Explanation:
Angela's disposable income $2,368
monthly expenses including recreational expenses ($2,127)
net cash flow $241
after expenses are reduced by $64, her net cash flow will increase to $305
Angela's monthly savings rate = (net cash flow / disposable income) x 100 = $305 / $2,368 = 12.88%
A person's savings rate is how much money they save (do not spend) compared to their total disposable income.
