The cost C, in dollars, to produce graphing calculators is given by the function C(x)=57+4500, where x is the number of calculators produced. How many calculators can be produced if the cost is limited to $129,900?
I will assume you have a typo and you meant to type
C(x)=57x+4500
so solve
129000 = 57x + 4500
( get x = 2184)
To find the number of calculators that can be produced given a limited cost, we need to set up an equation and solve for x.
The cost function is given as C(x) = 57x + 4500.
We are given that the cost is limited to $129,900, so we can set up the equation:
57x + 4500 = 129900
Now, we can solve for x:
57x = 129900 - 4500
57x = 125400
x = 125400 / 57
x ≈ 2200
Therefore, approximately 2200 calculators can be produced if the cost is limited to $129,900.
To find the number of calculators that can be produced when the cost is limited to $129,900, we need to set up an equation using the given function.
The cost function is given as C(x) = 57x + 4500, where x is the number of calculators produced.
We want to find the value of x when the cost is limited to $129,900.
So, we can set up the equation:
129,900 = 57x + 4500
To solve for x, we need to isolate it on one side of the equation. Let's begin by subtracting 4500 from both sides:
129,900 - 4500 = 57x
125,400 = 57x
Now, we can divide both sides of the equation by 57:
125,400 / 57 = x
Using a calculator, we can find that x ≈ 2,200.
Therefore, approximately 2,200 calculators can be produced if the cost is limited to $129,900.