SOLUTION: Solve. (We are working on rational expressions including factoring) A company that manufactures hospital beds has a fixed monthly cost of $225,000. The average cost per bed, C,

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve. (We are working on rational expressions including factoring) A company that manufactures hospital beds has a fixed monthly cost of $225,000. The average cost per bed, C,       Log On


   



Question 83703: Solve. (We are working on rational expressions including factoring)
A company that manufactures hospital beds has a fixed monthly cost of $225,000. The average cost per bed, C, for the company to manufacture x beds per month is modeled by the formula
c = 550x + 225,000/x
How many hospital beds can be manufactured per month at an average cost of $800?

Answer by lekelly(20) About Me  (Show Source):
You can put this solution on YOUR website!
c=500x+(225000/x)
800=500x+(225000/x)
step 1: get rid of the x in the denominator by multiplying by x:
800x=500x+225000
step 2: get the all the x on one side of the equal side-subtract 500x from each side:
300x=225000
step 3: solve for x by dividing 300 from each side:
x=750---your answer!