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:
Share price = $85.684
Explanation:
It is given that ,Ke = cost of equity = 15% ,g = Growth = 9.2%% and Dividend and Repurchase = 40%
Now we know that
PV = CF /(Ke- g)
PV = $2.05 billion*0.4 / (0.15-0.092) = 0.84 billion /0.058
=$14137931034.483
Share price = $14137931034.483 / 165000000 million
Share price = $85.684
Answer:
C. cyclical unemployment rate is 4 percent.
Explanation:
The cyclical unemployment is associated with business cycles of recessions and expansions. The actual unemployment rate is given by the natural rate of unemployment added to the cyclical unemployment rate. In this case, the cyclical unemployment rate is:
The answer is C. cyclical unemployment rate is 4 percent.
Answer:
=$ 4400
Explanation:
Under the Macrs depreciation schedule, motor vehicles as assets have a useful life of 5 years. In the first year, the deprecation rate id 20%, followed by 32% in the second year.
For cork oak corporation: the value of the motor vehicle is 22,000
Date of purchase 2018, years in depreciation: 1
Depreciation: = 20/100 x 22 000
=$ 4400
Answer:
(a) Yes. It is an opportunity cost of new job because the additional time he spent commuting is a cost, as he can utilize that time in doing something else.
(b) Yes. It is also an opportunity cost because if a person wants to join a new job then he have to give up his current job. So, the earning of $45,000 from his current job is the opportunity cost of accepting the new job.
(c) No. It is not an opportunity cost but it is an additional benefit from the new job because he is not sacrificing anything to obtain this benefit.
