(1) Let's break down the cost C into its constant and variable parts.
Let's assume the constant cost is represented by k, and the variable cost is represented by h multiplied by the number of printed newspapers (n).
So, the total cost C can be expressed as:
C = k + hn
(2) To find the value of k and h, we can use the given information.
We are told that the cost of printing 500 newspapers is 320, so we can substitute n = 500 and C = 320 into the expression for C:
320 = k + h * 500
Similarly, we are told that the cost of printing 1000 newspapers is 540:
540 = k + h * 1000
Now, we have a system of two equations with two unknowns (k and h). We can solve this system of equations to find their values.
From equation (1): k + h * 500 = 320
From equation (2): k + h * 1000 = 540
Subtracting equation (1) from equation (2), we eliminate k:
h * 1000 - h * 500 = 540 - 320
h * 500 = 220
Dividing both sides by 500:
h = 220/500
h = 0.44
Now we can substitute this value of h back into equation (1) to find the value of k:
k + 0.44 * 500 = 320
k + 220 = 320
k = 320 - 220
k = 100
So, we have k = 100 and h = 0.44.
Now, we can substitute these values back into the expression for C to find the cost of printing 750 newspapers:
C = 100 + (0.44 * 750)
C = 100 + 330
C = 430
Therefore, the cost of printing 750 newspapers is 430.