(2,-5) (origin) slope
1 answer:
You might be interested in
Answer:
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Step-by-step explanation:
Let
x ----> is the number of tires produced, in thousands
C(x) ---> the production cost, in thousands of dollars
we have
This is a vertical parabola open downward (the leading coefficient is negative)
The vertex represent a maximum
The graph in the attached figure
we know that
Looking at the graph
For the interval [0,1.12) ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
For the interval (34.18,39.87] ----->
The value of C(x) ---->
That means ----> The production cost is under $75,000
Remember that the variable x (number of tires) cannot be a negative number
therefore
If the company wants to keep its production costs under $75,000 a reasonable domain for the constraint x is
0 ≤ x < 1.12 and 34.18 < x ≤ 39.87
Rewrite the fraction as division:
Make them into single fraction:
Change the divide fraction into multiplication fraction:
Factorise the difference of square a² - b² = (a + b) (a - b) :
Cancel the common factors: