Susan can pick 4 pounds of coffee in an hour or gather 2 pounds of nuts. Tom can pick 2 pounds of coffee in an hour or gather 4 pounds of nuts. Each works 6 hours per 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 gather 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 gathering 4 pounds of nuts per day, who would gather the nuts, and how many pounds of coffee would they still be able to pick?
d. Now suppose Susan and Tom were gathering the maximum number of pounds of nuts when they decided that they would like to begin picking 8 pounds of coffee per day. Who would pick the coffee, and how many pounds of nuts would they still be able to gather?
e. Would it be possible for Susan and Tom in total to gather 26 pounds of nuts and pick 20 pounds of coffee each day? If so, how much of each good should each person pick?
f. Is the point at 30 pounds of coffee per day, 12 pounds of nuts per day an attainable point? Is it an efficient point?
g. Is the point at 24 pounds of coffee per day, 24 pounds of nuts per day an attainable point? Is it an efficient point?
h. On a graph with pounds of coffee per day on the vertical axis and pounds of nuts per day on the horizontal axis, show all the points you identified in parts a-g.