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:
C. Spencer will win because regardless of whether Glen was acting within the scope of his employment, Sally is liable for his negligence
Explanation:
Spencer will win the lawsuit and Sally is liable for negligence.
This is because, Sally was the person originally hired to do the roofing job.
She hired other workers to help her with the job, so she's liable to their actions and inactions.
Sally is operating under a working agreement (contract) and has already charged a fee of $10,000 so any punitive damages would be her responsibility.
Spencer was moving around and Glen threw some roofing shingles without any word of warning to people that might be in harm's way. So for Glenn's actions, Sally is liable for his negligence.
Answer:
$1,027.86
Explanation:
Total Taxes = Federal Income Tax + FICA-SS Tax + FICA-Medicare Tax
Total Taxes = $680.70 + ($4,538.00 × 0.062) + ($4,538.00 × 0.0145)
Total Taxes = $680.70 + $281.36 + $65.80
Total Taxes = $1,027.86
Therefore the total amount of taxes withheld from the Trey’s earnings is $1,027.86
Answer: The options are given below:
A. $18.00
B. $1,036.80
C. $2.00
D. $7.20
E. $64.00
The correct option is D. $7.20
Explanation:
From the question above, we were given:
Annual demand = 100,000 units
Production = 4 hour cycle
d = 400 per day (250 days per year)
p = 4000 units per day
H = $40 per unit per year
Q = 200
We will be using the EPQ or Q formula to calculate the cost setup, thus:
Q = √(2Ds/H) . √(p/(p-d)
200=√(2x400x250s/40 . √(4000/(4000-400)
200=√5,000s . √1.11
By squaring both sides, we have:
40,000=5,550s
s=40,000/5,550
s=7.20