Respuesta :
The cost function given here is
c(x) = 10x + 1200
Where x = number of rides
c(x) is the total cost including the fixed cost.
Also it is given that each ride costs $40
So Revenue function for x number of rides shall be
R(X) = 40x
For break even
the cost must be equal to the revenue
Hence
R(x) = C(x)
40x = 10x + 1200
Subtracting 10x from both sides we get
30x = 1200
Dividing by 30 on both sides
We get
x = 40
If the rides are 40, then there is no profit no loss.
Break even point is the point of where total cost and total revenue is equal. Total ride need to break even is 40.
What is break even point?
Break even point is the point where there is no profit and no loss. This is the point of where total cost and total revenue is equal.
Given information-
The cost c (in dollars) for the fuel and maintenance of a go-cart is given by the function,
[tex]c=10x+1200[/tex]
Here, [tex]x[/tex] is the number of rides done by the go cart.
Total cost of one ride of the go cart is $40.
As the total cost is the product of total number of rides and the cost of each ride. Thus the cost of the go cart is,
[tex]c=40x[/tex]
The revenue must be equal to the total cost to achieve the break even point. thus,
[tex]40x=10x+1200[/tex]
Solve for the x,
[tex]40x-10x=1200\\30x=1200\\x=\dfrac{1200}{30}\\ x=40[/tex]
Hence total ride need to break even is 40.
Learn more about the break even point here;
https://brainly.com/question/16258055
