Mr. Cruz wants to publish his own math textbooks. A company will do it for him if he pays P 7,500.00 plus another P 750.00 per book. Mr. Cruz decides that it will be worth it if he can produce books for less than P 1,000.00 each. How many books should he produce to make it worth it to him? (Hint Multiply the number of books to its cost and add it to P7,500.00).
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Verified answer
In the given problem, you need to apply your knowledge and skills in alegbra and basic math.
Given:
P 7,500.00 cost of publishing books by a company
750.00 addition fee per book
less than 1, 000 per book as his ideal price
Problem:
How many books should he produce to make it worth it to him?
Solution:
Let x is the number of books
Total Cost = 750x + 7 500
For ideal price → 1000x
1000x = 750x + 7 500
1000x - 750x = 7 500
250x = 7 500
x = 30
If he plan to publish 30 books.
The total price from the company.
Cost = 750(30) + 7 500
Cost = 30, 000
Each book is 30 000 ÷ 30 = 1, 000, not ideal since it needs less than.
If he plan to publish 31 books.
Cost = 750(31) + 7 500
Cost = 30, 750
Each Book is 30750 ÷ 31 = 991. 94, ideal price
Thus, in order to be worth it for him, he must produce more than 30 books.
Final answer:
He need to produce more than 30 books.
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