MATH SOLVE

4 months ago

Q:
# 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 ridesB: How many rides are needed to break even.Need help with both parts

Accepted Solution

A:

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$β revenue function would be 35 times xi.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 β35x=15x+2000β35-15x=2000[subtract 15x from both sides]β20x=2000 [simplify] βx=2000/20[dividing both sides with 20]βx=100β΄ 100 Β 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$β revenue function would be 35 times xi.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 β35x=15x+2000β35-15x=2000[subtract 15x from both sides]β20x=2000 [simplify] βx=2000/20[dividing both sides with 20]βx=100β΄ 100 Β rides are needed to break even.