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:
Price of stock = $40
Explanation:
According to the dividend growth model, the price of a stock is the present value of expected dividend discounted at the required rate of return.
This is done as follows:
Price of a stock = D×(1+r)/(r-g)
D(1+g) - Dividend for next year = 100%-40%× $3 = $1.8
g- growth rate - 10%
r- required rate of return - 15%
Price of stock = 1.8× (1.1)/(0.15-0.1)
= $40
Answer:
Buy a store
Explanation:
If you buy a store, then you become a store owner.
You were probably looking for more detail, but this is the best I can do for now.
Answer:
The alignment of numbers in the first part of the question is off. However, you solve this question as shown below. The correct answer is C. $1,124.
Explanation:
This is a one-time cashflow type of question where the principal amount is invested once and no other addition is made to the account. You use the future value formula to solve the result of the compounding effect at year 3.
FV formula;
FV = PV(1+r)^n
PV = 800
discount rate; r = 12% or 0.12
total duration of investment; n = 3
therefore; FV = 800(1+0.12)^3
FV = 800 * 1.404928
FV = 1123.94
To the nearest whole dollar, the amount will grow to $1,124
Answer: Andy's demand for beer to increase
Explanation:
Andy's views beer and pizza as complement to each other. Hence when the price of pizza decreases Andy's demand for beer would increase as he would order more beer than pizza so as to complement both offers.
