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The cost C (in dollars) for the care and maintenance of a horse and carriage is C=15x+2000 where x is the number of rides.

Rides cost 35$

A: write an equation for the revenue R in terms of the number of rides

B: How many rides are needed to break even.

Need help with both parts

Respuesta :

JeanaShupp

Answer: 100 rides are needed to break even.


Step-by-step explanation:

We have given the cost function

C(x)=15x+2000 where x is the number of rides.

And rides cost 35$

⇒ revenue function would be 35 times x

i.e.R(x)=35 x , where x is the number of rides.

Break even point of a firm occurs when at a certain point x the total cost equals to the total revenue.

i.e. at break even point

total revenue=total cost

⇒35x=15x+2000

⇒35-15x=2000[subtract 15x from both sides]

⇒20x=2000 [simplify]

⇒x=2000/20[dividing both sides with 20]

⇒x=100

∴ 100  rides are needed to break even.

The revenue function will be 35x and the breakeven point will be 100 rides.

From the information given, the revenue function will be calculated by multiplying the price by the quantity. This will be:

= 35 × x

= 35x

The breakeven point will be the point where total revenue equals the total cost. This will be:

35x = 15x + 2000

35x - 15x = 2000

20x = 2000

x = 2000/20

x = 100

Therefore, the revenue function will be 35x and the breakeven point will be 100 rides.

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