The following equation of parabola is given:
p(x)= - 5 x^2 + 240 x - 2475
where p(x) = y
This is a standard form of the parabola. We need to
convert this into vertex form of equation. The equation must be in the form:
y – k = a (x – h)^2
Where h and k are the vertex of the parabola. Therefore,
y = - 5 x^2 + 240 x - 2475
y = -5 (x^2 – 48 x + 495)
Completing the square:
y = -5 (x^2 - 48 x + 495 + _) - (-5)* _
Where the value in the blank _ is = -b/2
Since b = -48 therefore,
y = -5 (x^2 – 48 x + 495 + 81) + 405
y – 405 = -5 (x^2 – 48 x + 576)
y – 405 = -5 (x – 24)^2
Therefore the vertex is at points (24, 405).
The company should make 24 tables per day to attain maximum
profit.
Answer:
= 18.7%
Explanation:
<em>A portfolio is a collection of assets/ investment. The return on a portfolio is the weighted average of all the return of the individual assets weighted according to the percentage of total funds allocated to each assets.</em>
Expected return on portfolio:
E(R) =( Wa*Ra) + (Wb*Rb)
Wa = 56% , Wb = 100-56 = 44%
Ra = 12%, Rb = 24%
E(R) = (0.56*24%) + (0.44× 12%)
= 18.7%
Answer:
b) 5
Explanation:
W TP MP MRP
1 100
2 190 90 900
3 270 80 800
4 340 70 700
5 400 60 600
6 450 50 500
7 490 40 400
8 520 30 300
the marginal product of n labor = (total product of n labor - the total product of p labor)/(n-p)............(n>p)
Marginal revenue product = marginal product*price
the firm employ input up to marginal revenue product equal to the wage
MRP = wage or closest lower wage
where W = 5
the firm will higher 5 workers.
Answer:
13.70%
Explanation:
We use the PMT formula which is to be shown in the attachment
Given that,
Present value = $1,326.50
Future value = $1,000
Rate of interest = 9.8% ÷ 2 = 4.9%
NPER = 18 years × 2 = 36 years
The formula is shown below:
= PMT(Rate;NPER;-PV;FV;type)
The present value come in negative
So, after solving this, the PMT is
= $68.48 × 2
= $136.92
Now the coupon rate is
= $136.92 ÷ $1,000
= 13.70%
Answer:
$490,000.
Explanation:
To find out sales of Opal Company we will use below equation,
Sales = Variable cost + Fixed cost + Target profit
variable cost margin will be (1 - contribution margin)
= 0.7 (1 - 0.3)
we will consider sales as x,
x = 0.70x + $49,000 + 0.20x
x = 0.90x + $49,000
x - 0.90x = $49,000
x = $49,000 / 0.10
x = $490,000.
Sales = $490,000.
