E202Solutions1.3

E202Solutions1.3 - 9. Susan can pick 4 pounds of coffee in...

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9. Susan can pick 4 pounds of coffee in an hour or 2 pounds of nuts. Tom can pick 2 pounds of coffee in an hour or 4 pounds of nuts. Each works 6 hours a day. a. What is the maximum number of pounds of coffee the two can pick in a day? b. What is the maximum number of pounds of nuts the two can pick in a day? c. If Susan and Tom were picking the maximum number of pounds of coffee when they decided that they would like to begin picking 4 pounds of nuts per day, who should pick the nuts and why? How many pounds of coffee would they still be able to pick? d. Now suppose Susan and Tom were picking the maximum number of pounds of nuts when they decided that they would like to begin picking 8 pounds of coffee per day, who should pick the coffee and why? How many pounds of nuts would they still be able to pick? e. Would it be possible for Susan and Tom to pick a total of 26 pounds of nuts and 20 pounds of coffee each day? If so, how much of each good should each person pick?
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