Ensure that the email is written in a concise, professional, and clean matter devoid of spelling and grammar errors
Answer:
Gross margin= $40,000
Explanation:
Giving the following information:
Per-unit product cost: $30
Gross margin percentage:40%
Selling and administrative expenses $30,000
Operating income$10,000
We know that:
operating income= gross margin- selling and administrative income
10000= gross margin- 30000
40000= gross margin
The complete question is as follows:
The admission directory of Big City University has a novel idea. He proposed using the IQ scores of current students as a marketing tool. The university agrees to provide him with enough money to administer IQ tests to 50 students. So the director gives the IQ test to an SRS of 50 of the university’s 5000 freshman. The mean IQ score for the sample is xbar=112. The IQ test he administered is known to have a σ of 15. What is the 95% Confidence Interval about the mean? What can the director say about the mean score of the population of all 5000 freshman?
Answer: The 95% confidence interval about the mean is
.
The director can say that he is 95% confident that the mean IQ score of the 5000 freshmen lies between 107.84 and 116.16.
We follow these steps to arrive at the answer:
Since the population standard deviation of the IQ test is known, we can use the Z scores to find the confidence interval.
The formula for the confidence interval about the mean is:

In the equation above, X bar is known as the point estimate and the second term is known as Margin of Error.
The Critical Value of Z at the 95% confidence level is 1.96.
Substituting the values in the question in the equation above we have,



Answer:
January $153,825
February $248,600
March $301,650
Explanation:
Computation for cash collections from customers for each month:
January February March
January: ($205,100 x 75%=$153,825) ($205,100 x 25%=$51,275) $0
February: $0 ($263,100 x 75%= $197,325) ($263,100 x 25%=$65,775)
March: $0 $0 ($314,500 x 75%=$235,875)
TOTAL $153,825 $248,600 $301,650
Therefore cash collections from customers for each month is :
January $153,825
February $248,600
March $301,650