A retired couple supplement their income by making fruit pies, which they sell to a local grocery store. During the month of June, they produce blueberry and peach pies. The blueberry pies are sold to the grocer for $10.00 and the peach pies are sold for $9.00. The couple is able to sell all of the pies owing to their high quality. They use fresh ingredients. Sugar and flour are bought once a month. The price of sugar per pound is $1.40 and there are roughly 2 cups of sugar in one pound. The price of flour per pound is $0.36 and there are roughly 3.6 cups of flour in one pound. The cost of the fruit needed per pie is the same.
Each blueberry pie requires 1.5 cups of sugar and 3 cups of flour; each peach pie requires 2 cups of sugar and 2.5 cups of flour. On hand are 4 pounds of flour left from the previous month that must be used. There is no shortage of flour, sugar or fruit in the market for them to purchase. The ratio of blueberry pies to peach pies should be at most 4 to 9. The couple working together can make a blueberry pie in 10 minutes and a peach pie in 8 minutes. They plan to work no more than 60 hours during the month of June and do not plan on hiring additional help. Determine the number of blueberry pies and peach pies that will maximize their profit.
Let B = Number of blueberry pies to be baked
Let P = Number of peach pies to be baked
Which of the following represents the requirement "On hand are 4 pounds of flour left from the previous month that must be used before losing their freshness."?
a. 3B+2.5P <= 14.4
b. 3B+2.5P >= 14.4
c. 0.3B+0.25P <= 4
d. 3B+2.5P <= 4
e. 3B+2.5P >= 4