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 for food preparation and 3 ovens available for 8 hours of each. The bakery makes a profit of $5.50 on each pie and $6.00 on each cake.

a) Let x = the number of pies and y = the number of cakes the bakery makes in a given day. Translate a system of linear inequalities.
c) Find the number of each dessert the bakery should make each day to max its profit.

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 for food preparation and 3 ovens available for 8 hours of each. The bakery makes a profit of $5.50 on each pie and $6.00 on each cake. 

a) Let x = the number of pies and y = the number of cakes the bakery makes in a given day. Translate a system of linear inequalities.
c) Find the number of each dessert the bakery should make each day to max its profit.

samara8954 · Answer

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