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:
$1,050,000
Explanation:
The computation of the net income is shown below:
Net income = Sales revenue × profit margin percentage
= $17,500,000 × 6%
= $1,050,000
To determine the net income we multiplied the sales revenues by its profit margin percentage so that the correct value could be arrived.
Answer:
<em>Informal leadership</em>
Explanation:
Informal leadership is an individual's <em>ability to manipulate other people's behavior through means other than structured authority granted by the company across its rules and regulations. </em>
Informal leadership is simply any kind of leadership that is not formally based.
Vary in total in direct proportion to changes in the activity level. As this cost increase or decrease, the output level.
<h3>What is the
variable cost dependency?</h3>
Variable costs are proportional to output, resulting in a fixed sum per unit produced. It indicates that when more products are manufactured, variable costs will rise; conversely, if fewer products are manufactured, variable costs will fall.
Thus, option C is correct.
For more details about variable cost dependency, click here:
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