Question
The cost C of printing a newspaper is partly constant and partly varies as n the number of printed newspapers. If the cost of printing 500 newspapers is $320 and the cost of printing 1000newpapers is $540, find the total cost of printing 750 newspapers
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Let C1 be the constant cost of printing and C2 be the cost that varies with the number of newspapers.
From the given information, we have:
C1 + C2(500) = 320 (1)
C1 + C2(1000) = 540 (2)
Subtracting equation (1) from equation (2), we get:
C2(1000) - C2(500) = 540 - 320
C2(500) = 220
Dividing both sides by 500, we get:
C2 = 220/500
C2 = 0.44
Now, substitute the value of C2 in equation (1) to find C1:
C1 + 0.44(500) = 320
C1 + 220 = 320
C1 = 320 - 220
C1 = 100
Therefore, the total cost of printing 750 newspapers is:
C = C1 + C2(n)
C = 100 + 0.44(750)
C = 100 + 330
C = $430. Answer: \boxed{430}.
From the given information, we have:
C1 + C2(500) = 320 (1)
C1 + C2(1000) = 540 (2)
Subtracting equation (1) from equation (2), we get:
C2(1000) - C2(500) = 540 - 320
C2(500) = 220
Dividing both sides by 500, we get:
C2 = 220/500
C2 = 0.44
Now, substitute the value of C2 in equation (1) to find C1:
C1 + 0.44(500) = 320
C1 + 220 = 320
C1 = 320 - 220
C1 = 100
Therefore, the total cost of printing 750 newspapers is:
C = C1 + C2(n)
C = 100 + 0.44(750)
C = 100 + 330
C = $430. Answer: \boxed{430}.