Printing A printer has a contract to run 20,000 postersfor a state fair. He can use any number of plates from1 to 8 to run the posters; each stamp of the press willproduce as many posters as there are plates. The costof printing all the posters is given byC(x) = 200 + 20x +180x , where x is the numberof plates.a. Combine the terms of this function over a common denominator to create a rational function.b. Use numerical or graphical methods to find thenumber of plates that will make the cost $336.c. How many plates should the printer create to produce the posters at the minimum cost?

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Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.