Answer:
I used an Excel spreadsheet to calculate R² which gives us the least squares trend. See attached image.
y = 360x + 1600
R² = 0,9529
next year's enrollment should be = (360 x 5) + 1600 = 3400
Answer:
c. Discretionary
Explanation:
The discretionary policy is the policy that depends upon the judgement of the people who made the policy. It also deals in the decision making with respect to the monetary and fiscal policy
So here in the given situation, it is mentioned at the time of taking the action by the federal government with respect to change in the taxes and the spending in order to stimulate the economy
So this situation represents the discretionary policy
therefore the option c is correct
Answer:
4.27 days
Explanation:
Initial taste quality = 1
Quality of tastiness declines using this function
Q(t) = 0.85^t ( t in days )
<u>Determine when the taste quality will be 1/2 of original value</u>
i.e. when Q(t) = 1/2
1/2 = 0.85^t
= In ( 2 ) = - t ( In 0.85 )
∴ t = - In (2) / In (0.85)
= 4.265 days ≈ 4.27 days
Answer:
The warranty period is for three years.
Explanation:
A warranty is a promise a buyer receives from the seller that the latter will repair or replace the product should it develop defects within a stated period. Warranties are granted with specific conditions. The universal condition is that the defects in the product are a result of the manufacturing process and not the buyers' misuse. The defect must occur within a stated period.
In the case of XYZ, the stated period is three years. However, the seller has introduced another condition of "or 30,000 miles whichever comes first." For business reasons, and from market experience, the seller expects that XYZ will use the vehicle at an average rate of 10,000 miles per year. At this rate, the warranty will last for three years. Should the buyer use the vehicle at a faster rate than this, the 30,000 miles will be exhausted earlier, which will bring the warranty to an end. If XYZ uses the vehicle at a slower or the expected rate, the warranty will last for three years.
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
