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:
B.False
75000 - 25000 will = 50000 witch is double then 25000
Answer:
C) abandon the production of jam to fully specialize in the production of peanut butter and then trade with Company Q for jam.
Explanation:
According to different theories about trade specialization, a company or even a country should specialize in producing only those products that they can make better than their competition, i.e. have a comparative or absolute advantage in their production.
In this case, since Company R has a comparative advantage in the production of peanut butter, it should specialize in producing only that. In case they need jam, they should trade with Company Q in order to get some jam. Eventually Company Q will only produce jam since they have a comparative advantage in jam production.
$3878.55
Explanation:
Step 1 :
It is given that Kristy has a biweekly gross earnings of $1950.
Since it is bi-weekly payments there are 26 payments in the year.
Gross earnings per year = 1950 * 26 = $50,700
Step 2 :
It is given that the social security tax is 6.2% up to $128,400. Kristy's earnings of 50,700$ does not exceed the threshold $128,400, hence 6.2% of her entire income is subject to social security withholding.
Social security withholding = 6.2% of 50,700 = 6.2*50700/100 = $3143.40
Step 3 :
It is given that Medicare tax is 1.45% with no wage limit
Medicare withholding = 1.45% of 50,700 = 1.45*50700/100 = $735.15
Total withholding = Social Security withholding + Medicare withholding 3143.40 + 735.15 = $3878.55
