Borrower must pay off loan
Answer:
A) R(x) = 120x - 0.5x^2
B) P(x) = - 0.75x^2 + 120x - 2500
C) 80
D) 2300
E) 80
Explanation:
Given the following :
Price of suit 'x' :
p = 120 - 0.5x
Cost of producing 'x' suits :
C(x)=2500 + 0.25 x^2
A) calculate total revenue 'R(x)'
Total Revenue = price × total quantity sold, If total quantity sold = 'x'
R(x) = (120 - 0.5x) * x
R(x) = 120x - 0.5x^2
B) Total profit, 'p(x)'
Profit = Total revenue - Cost of production
P(x) = R(x) - C(x)
P(x) = (120x - 0.5x^2) - (2500 + 0.25x^2)
P(x) = 120x - 0.5x^2 - 2500 - 0.25x^2
P(x) = - 0.5x^2 - 0.25x^2 + 120x - 2500
P(x) = - 0.75x^2 + 120x - 2500
C) To maximize profit
Find the marginal profit 'p' (x)'
First derivative of p(x)
d/dx (p(x)) = - 2(0.75)x + 120
P'(x) = - 1.5x + 120
-1.5x + 120 = 0
-1.5x = - 120
x = 120 / 1.5
x = 80
D) maximum profit
P(x) = - 0.75x^2 + 120x - 2500
P(80) = - 0.75(80)^2 + 120(80) - 2500
= -0.75(6400) + 9600 - 2500
= -4800 + 9600 - 2500
= 2300
E) price per suit in other to maximize profit
P = 120 - 0.5x
P = 120 - 0.5(80)
P = 120 - 40
P = $80
Answer:Therefore, total surplus is maximized when the price equals the market equilibrium price. In competitive markets, only the most efficient producers will be able to produce a product for less than the market price. Hence, only those sellers will produce a product
Explanation: i no it
Answer:
$12.14
Explanation:
The computation of the current value of one share of the stock is shown below:
D2 = (1 × 1.25) = $1.25
D3 = (1.25 × 1.25) = $1.5625
Now
Value after year 3 is
= (D3 × Growth rate) ÷ (Required return - Growth rate)
= (($1.5625 × 1.06) ÷ [0.17 - 0.06)]
= $15.05681818
Now
Current value is
= Future dividends × Present value of discounting factor(17%,time period)
= $1 ÷ 1.17 + $1.25 ÷ 1.17^2 + $1.5625 ÷ 1.17^3 + $15.05681818/1.17^3
= $12.14
Answer:
Bonds
Explanation:
Bonds are financial instruments that are used to obtain funding from the bond holders. It is a debt security that is issued by a government or corporation to investors.
When investors buy bonds the funds are used by governments for its operations and various projects. Interest is paid on the bonds.
Bonds can be municipal bonds or corporate bonds.
Unlike shares bonds does not grant the holder an equity or ownership stake in the company, rather it grants a creditor stake.