Please help me.
A-Plus Advertising charges a fee of $24 plus $0.10 per flyer to print and deliver flyers. Print and More charges $0.25 per flyer. Write an inequality to model the situation so that we can find how many flyers need to be purchased so that the cost at A-Plus Advertising is less than the cost at Print and More?
. Alexander rented a booth at the Comic Pro Conference to sell his new graphic novel. The booth rental fee is $50, the cost to produce each novel is $5.25, and the novel sells for $12.95. Write an inequality to model the situation so that we can find the number of graphic novels Alexander sold to earn a profit.
You want x such that
24+0.10x < 0.25x
160 < x
That is, you need to print more than 160 flyers for A-Plus to be cheaper.
Now you try the other one.
50+5.25N < 12.95 S
The N is for the Number of novels produced and the S is for novels sold.
To find an inequality that represents the situation, you need to compare the costs between A-Plus Advertising and Print and More.
Let's assume the number of flyers to be purchased is represented by 'x'.
At A-Plus Advertising, the cost is a fixed fee of $24 plus an additional $0.10 per flyer. Therefore, the total cost at A-Plus Advertising can be calculated as:
Cost_A = $24 + $0.10x
At Print and More, the cost is simply $0.25 per flyer. So, the total cost at Print and More is:
Cost_P = $0.25x
To find how many flyers need to be purchased so that the cost at A-Plus Advertising is less than the cost at Print and More, we can write the following inequality:
Cost_A < Cost_P
$24 + $0.10x < $0.25x
Simplifying the inequality, we have:
$24 < $0.15x
Therefore, the inequality representing the situation is:
24 < 0.15x
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To find an inequality that represents the situation for Alexander's profit, you need to consider the booth rental fee, the cost to produce each novel, and the selling price of the novel.
Let's assume the number of graphic novels Alexander sold is represented by 'n'.
The booth rental fee is a fixed cost of $50, and the cost to produce each novel is $5.25. So, the total cost incurred by Alexander can be calculated as:
Cost = $50 + ($5.25 × n)
The novel sells for $12.95 per unit, which is the revenue generated by selling each novel. Therefore, the total revenue can be calculated as:
Revenue = $12.95 × n
To find the number of graphic novels Alexander sold to earn a profit, we can write the following inequality:
Revenue - Cost > 0
($12.95 × n) - ($50 + ($5.25 × n)) > 0
Simplifying the inequality, we have:
$12.95n - $50 - $5.25n > 0
$7.70n - $50 > 0
Therefore, the inequality representing the situation is:
7.70n - 50 > 0