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I'd like you to try this next problem on your own and see how far you can get through it pause the video after I'm done reading the problem and then play again when you're ready to see the answer how much ink is needed to print 175 thousand 11 by 17 inch posters in coverage values have been determined by Ramsey printing company to be cyan 9% magenta 28% yellow 31% and black 12% some chemical has provided the following ink coverage information all inks cyan magenta yellow and black have an ink coverage or ink spread of 65,000 square inches for every 1 pound of ink okay so let's walk through the steps one at a time so step 1 calculate the area of paper being used to calculate this you should have multiplied 11 times 17 because that's the size of the paper that were printing 11 times 17 is 170 inches squared and that assumes that we're printing 100% ink coverage which were not so that takes us a step number to multiply the paper area from step one by the ink coverage percentage this value will always be given to you I gave it to you as 9% twenty eight percent 31 percent and 12 percent the correct answers should be cyan every one sheet of Saia one sheet of 11 by 17 inch paper has a cyan in coverage of sixteen point eight three inches squared magenta is fifty two point three six inches squid yellow is fifty-seven point nine seven inches squared and black is twenty two point four four inches squared I'd like to emphasize again you do not round any values anywhere along the line until you get to the very end where you know it need to know how many pounds of ink coverage you how many pounds of ink you need to purchase step three we're going to multiply the coverage area of one sheet of paper times a number of sheets that we're going to print in this case for printing seventy five thousand eleven by seventeen inch posters the correct answer to step three should be cyan one million two hundred sixty two thousand two hundred and fifty square inches magenta three million nine hundred twenty seven thousand square inches yellow four million three hundred and forty seven thousand seven hundred and fifty square inches and black 1 million six hundred and eighty three thousand square inches step four we're going to calculate the exact number of pounds of ink we need so we take the number of square inches that we need for the entire job and divide by the ink spread or the ink coverage in this case is sixty five thousand square inches so 1 million two hundred and sixty two thousand two hundred and fifty square inches of cyan divided by sixty five thousand square inches per pound means we need to purchase 19 point four two pounds of cyan ink the other correct answers are magenta sixty point four two pounds yellow sixty six point eight nine pounds black 25 point eight nine pounds and last but not least we cannot purchase part partial pounds so we need to round all of the answers up to the very next whole number so the correct answer for this problem is 20 pounds of cyan 61 pounds of magenta 67 pounds of yellow and twenty-six pounds of black you got all those answers correct you can move on to the second half of our lecture which is putting a price to the number of pounds of paper if you did not get this correct please go back and try it again and see where you went wrong and if you're still having difficulty please attend my online office hours by in-person office hours or come to class Thursdays are always optional you should be coming to class if you need extra help if you're in the online version and there is an in-class version being offered by all means please come on Thursday for extra help
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