Answer:
p = 59.11 dollars
Explanation:
Given
Price: p(x) = 8eˣ (0 ≤ x ≤ 2)
Revenue; R = x*p = 8xeˣ
p = ? when R be at maximum
We can apply
dR/dx = d(x*p)/dx = 0
⇒ d(8xeˣ)/dx = 8*(1*eˣ + x*eˣ) = 0
⇒ eˣ*(1 + x) = 0 ⇒ x = - 1
as x = - 1 ∉ [0, 2]
then, we have
p(0) = 8e⁰ = 8
R = 0*8 = 0
If x = 1
p(1) = 8e¹ ≈ 21.74
R = 1*21.74 = 21.74
If x = 2
p(2) = 8e² ≈ 59.11
R = 2*59.11 = 118.22
Implies that, R(x) is maximum at x = 2.
Thus, the price that maximize the revenue of the company is 59.11 dollars.
I believe that you would get a statement for your checking account monthly because you need to know how much money get withdraw ed and how much is left.
The rate of return required by investors in the market for owning a bond is called the <u>Yield to </u><u>maturity</u>
A bond's coupon rate is the rate it pays each year, and yield is the return it makes. A bond's coupon is expressed as a percentage of its face value. Face value is simply the face value of the bond or the value of the bond as quoted by the issuer.
A bond's current yield is the annual income from the investment, including interest and dividend payments, divided by the security's current price. Yield to maturity (YTM) is the expected total return from holding a bond to maturity.
The current yield is the annual rate of return on investment (interest or dividend) divided by the security's current price. This indicator looks at the current price of a bond rather than its face value.
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Common stock is a corporate owned equity. Common stock shareholders have a right to the company's assets after all bondholders, preferred stock/shareholders and other debt holders are paid first and in full. Preferred stock has the owner entity to a fixed amount of money. Those that are preferred shareholders/stockholders receive money before any common stock holders do. They have a higher claim on assets and company earnings.
