which function has an inverse that is a function? a. b(x) = x2 3 b. d(x) = –9 c. m(x) = –7x d. p(x) = |x|
1 answer:
You might be interested in
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
28
Therefore, the number of trees per acre to maximize the harvest is 28
The break even point for this book store is 10
<em><u>Solution:</u></em>
Given that, book store cost $80 a day to keep open, and it spends $15 for each book that it sells
Cost to open the book store = $ 80
<em><u>The formula for solving the break even point (BEP) is:</u></em>
Fixed Cost is the cost that remains constant whether the services provided or products sold increases or decreases
Variable Cost is the cost that varies or differs in proportion to the products or services produced, whether they increased or decreased
In this problem,
Fixed cost = $ 80
Selling price = $ 23
Variable cost = $ 15
Therefore,
Thus break even point for this book store is 10
In order for the bookstore to continue its business, it should sell at least 10 books to meet its $80 cost