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Naddika [18.5K]
3 years ago
9

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

iting) and variable costs (such as printing). The one-time fixed costs will total 30,814
. The variable costs will be 11.50
per book. The publisher will sell the finished product to bookstores at a price of 19.25
per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0
----------------------------------------------------------
Define x :
----------------------------------------------------------
Let x be the number of books.

----------------------------------------------------------
Find cost of the books:
----------------------------------------------------------
30814 + 11.5x 

----------------------------------------------------------
Find Sales of the books :
----------------------------------------------------------
19.25x

----------------------------------------------------------
Find the number of books needed :
----------------------------------------------------------
30814 + 11.5x = 19.25x
19.25x - 11.5x = 30814
7.75x = 30814
x = 3976

----------------------------------------------------------
Answer: 3876 books
----------------------------------------------------------
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Step 1:

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Step 2:

Find the total number of students using the percentage of 4 books.

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Hence, there are 300 students.

a)

\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{  }\times\text{  300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72  students} \end{gathered}

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0
2 years ago
What is the end behavior for f(x)=4x^4+2x^3-13x^2-14x+24?
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Factor this trinomial. Your answer should consist of two binomials.
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hope this helps!




5 0
3 years ago
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