Answer:
Step-by-step explanation:
If the profit realized by the company is modelled by the equation
P (x) = −0.5x² + 120x + 2000, marginal profit occurs at dP/dx = 0
dP/dx = -x+120
P'(x) = -x+120
Company's marginal profit at the $100,000 advertising level will be expressed as;
P '(100) = -100+120
P'(100) = 20
Marginal profit at the $100,000 advertising level is $20,000
Company's marginal profit at the $140,000 advertising level will be expressed as;
P '(140) = -140+120
P'(140) = -20
Marginal profit at the $140,000 advertising level is $-20,000
<u>Based on the marginal profit at both advertising level, I will recommend the advertising expenditure when profit between $0 and $119 is made. At any marginal profit from $120 and above, it is not advisable for the company to advertise because they will fall into a negative marginal profit which is invariably a loss.</u>
Using a calculator, it is found that for the two-tailed test of significance, the p-value is of 0.9195.
The correlation coefficient is also called <u>Pearson's r-score</u>, and is used for two-tailed tests. To find the p-value, the information needed is:
- The value of the Pearson's r-score, that is, the value of the correlation coefficients.
- The sample size.
In this problem, we have that the correlation coefficient is of r = 0.02, with a sample size of n = 28.
- Using it as the input for a r-score calculator, the p-value is of 0.9195.
A similar problem is given at brainly.com/question/13873630
The side length is 5 units, and the area is 25 square units
<h3>What are areas?</h3>
The area of a shape is the amount of space it occupies
<h3>What is the area of a square</h3>
The area of a square is the product of its dimensions
From the graph, the coordinates of the square can be assumed to be:
The side length of the square is then calculated using the following distance formula
So, we have:
The area of the square is the calculated as:
This gives
Hence, the side length is 5 units, and the area is 25 square units
See attachment for the diagram of the shape
Read more about areas at:
brainly.com/question/24487155
17 • 4 is the equation that represents the product
