A university is trying to determine what price to charge for tickets to football games. At a price of $30 per ticket,
1 answer:
Answer:
The price should be 25 dollars, with this price 50000 people will attend the game.
Step-by-step explanation:
To solve this question we can build a table in which we compare the information taking into account the price of the ticket, the average number of people, the earnings for the sale of the tickets and the earnings of the sales in the concessions and with this determine the maximize revenue that corresponds to the best options for the university so as you can see in the attachment.
- To calculate the average people we subtract 10000 per each decrease in $5.
- To calculate the earnings per sales we have to multiply the cost of the ticket by the number of average people
- To calculate the earnings per concessions we have to multiply the spends in the concessions by the average people
- To calculate the total earnings we have to add the earnings per sales with the earnings per concessions.
As you can see, the total earnings for ticket price of $25 and $20 are the same ($150,000) if we increase or decrease the price of the tickets, the total earnings will decrease, then we have to choose the best option.
For maintaining the security and the infrastructure, it will be better to have less people, then the most convenient option will be that in which 50,000 people attend to the game, and for this, the price will be of $25.
Then, the price should be 25 dollars, with this price 50000 people will attend the game.
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<h2>Hello!</h2>
The answer is:
The statement A "Function f is increasing, but g is decreasing."
<h2>Why?</h2>To solve the problem and select the true statement, we need to compare both functions, using the inputs and outputs of the function "f" and the graph of the function "g" and then, discard each option.
Discarding we have:
A - Function f is increasing but g is decreasing: True.
From the shown table, we can see that the outputs of the function "f" are increasing, starting from 1.25 to 5, so, we can se that the function is increasing.
From the graph, we can see that the function "g" is the opposite of the function "f" since its outputs are decreasing, meaning that the function is decreasing.
Hence, the function "f" is increasing, but g is decreasing.
So, the statement A. "Function f is increasing, but g is decreasing." is true.
B - Both functions have positive x-intercepts.: False.
When a function intercepts the axis "x" we should be able to appreciate at least one output (y) equal to 0. We must remember that when a function intercepts the x-axis the y-value tends to 0.
Hence, the function f does not intercept the x-axis, also, we can see from the graph of the function g that there is not any x-axis intercept.
So, the statement B. "Both functions have positive x-intercepts." is not true.
C - The average rate of change of f is slower than the average rate of change of g over the interval [0, 2].: False.
From the graph of the function g, we can obtain its inputs and outputs and express it as points, and then, calculate its average of change, so, calculating we have:
Using the points: (0,2) and (2,5) we have:
We have that the average rate of change is negative since the function is decreasing, and it's equal to 0.75.
Now, calculating the average of rate of the function f for the same interval, we have:
We have that the average rate of change is positive since the function is decreasing. and it's equal to 1.5
Hence, we have that the average rate of change of f is faster than the average rate of change of g over the interval [0, 2].
So, the statement C. "The average rate of change of f is slower than the average rate of change of g over the interval [0, 2]." is false.
D - The y-intercept of f is greater than the y-intercept of g: False:
When a function intercepts the y-axis, the "x" coordinate of the interception point tends to 0.
For f, we have that the y-intercept is located at "2", we can find the y-intercept using the point (0,2) where "x" is equal to 0, and "y" is equal to 2.
For g, we also have that the y-intercept is located at "2", we can find the y-intercept using the point (0,2) where "x" is equal to 0, and "y" is equal to 2.
Hence, both y-intercepts are equal.
So, the statement D. "the y-intercept of f is greater than the y-intercept of g." is false.
Therefore, we have that correct answer is:
The statement A is true.
Have a nice day!
Answer:
The quick ratio is 4.75:1.
Step-by-step explanation:
From the given information it is clear that:
Cash = $340,000
Inventory = $280,000
Accounts receivable = $40,000
Accounts payable = $65000
Other current liabilities = $15000
Formula for quick ratio:
Substitute Cash = 340000, Current receivables=40000, Current Liabilities= (65000+15000).
Therefore the quick ratio is 4.75:1.