An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples and 15 cups of flour. When you sell these at the Farmer’s Market you make $3.00 profit per apple pie and $2.00 proft per apple cobbler. Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize your profit.

1a. Let x= the number of apple pies you make and y= the number of apple cobblers you make. Write

Question

An apple pie uses 4 cups of apples and 3 cups of flour.  An apple cobbler uses 2 cups of apples and 3 cups of flour.  You have 16 cups of apples and 15 cups of flour.  When you sell these at the Farmer’s Market you make $3.00 profit per apple pie and $2.00 proft per apple cobbler.  Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize your profit.  

1a.  Let x= the number of apple pies you make and y= the number of apple cobblers you make.  Write

anonymous · Answer

1b.  Write an inequality to show the constraint on the amount of flour you have.  (1 pt)




1c.  Write any non-negativity constraints on x and y. (1 pt)

anonymous · Answer

2a.  Leaving your inequality from 1a in standard form, 
find the x and y intercepts to graph it on the coordinate
plane provided. Be sure to shade accordingly.  (1 pt) 





2b.  Leaving your inequality from 1b in standard form, 
find the x and y intercepts to graph it on the coordinate
plane provided. Be sure to shade accordingly.  (1 pt)