A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45
minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix
and decorate. In a given day, the bakery has 16 hours of employee time available for
food preparation and 3 ovens available for 8 hours each. The bakery makes a profit of
$5.50 on each pie and $6.00 on each cake.

Question

A local bakery sells pies and cakes. Each pie takes 20 minutes to prepare and 45 
minutes to cook. Each cake takes 30 minutes to cook and a total of 40 minutes to mix 
and decorate. In a given day, the bakery has 16 hours of employee time available for 
food preparation and 3 ovens available for 8 hours each. The bakery makes a profit of 
$5.50 on each pie and $6.00 on  each cake.

anonymous · Answer

a.  Let x = the number of pies and y = the number of cakes the bakery makes in a given 
day. Translate the constraints into a system of linear inequalities

anonymous · Answer

b.  Graph the system of inequalities. Use an appropriate scale on the axes, and label 
the vertices of the feasible region with their coordinates.

anonymous · Answer

c.  Find the number of each dessert the bakery should make in a given day to 
maximize its profit.