find cost for manufacturing

Question

if the cost c for manufacturing x units of a certain product is given by C=x^2-10x+55 find the number of units manufactured at a cost of $10,030

Answer 1

Since we need to find the number of units manufactured we need to let 

 

C = 10,030 in the above equation.

 

10,030= X²-10x+ 55

 

x²-10x-9,975=0

 

Now solve this equation for x and select the positive value . That's  number of units you can manufacture for $10,030.

 

You can use the quadratic formula to solve the above equation.