The cost X, in dollars, to produce graphing calculators is given by the function C(x) = 51x + 2000, where x is the number of calculators produced. How many calculators can be produced for $104,000?
This seems to be simple algebra. C(x) is the total cost of the calculators, and the total cost is also $104,000. So now we have the equation 104,000=51x+2000. Subtract 2000 from both sides of the equation and divide by 51.
To find the number of calculators that can be produced for $104,000, we need to solve the equation C(x) = 104,000.
The given cost function is: C(x) = 51x + 2000.
Substituting 104,000 for C(x), we have:
51x + 2000 = 104,000.
Now, let's solve for x. First, we subtract 2000 from both sides of the equation:
51x = 104,000 - 2000.
51x = 102,000.
Then, we divide both sides of the equation by 51 to isolate x:
x = 102,000 / 51 = 2,000.
Therefore, 2,000 calculators can be produced for $104,000.