small bakery offers two types of Christmas cake – a Salty Caramel Christmas cake (x), and an extra fruity Christmas Cake . In any day the bakery can only produce 6 of these specialty cakes.  The bakery must decide on a daily basis how many of each cake to produce.  However, they must produce at least

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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  1. A small bakery offers two types of Christmas cake – a Salty Caramel Christmas cake (x), and an extra fruity Christmas Cake .
  2. In any day the bakery can only produce 6 of these specialty cakes.  The bakery must decide on a daily basis how many of each cake to produce.  However, they must produce at least two Salty Caramel Christmas cakes (x). The number of Salty Caramel Christmas cake is less than or equal to twice the number of fruity Christmas cakes.
  3.  

a.Write three inequalities to represent this information.

 b. Represent the three inequalities on a graph.

c.Shade the region on the graph which represents the solution set for the three inequalities.

4. If the bakery makes a profit of $1 on a fruity Christmas cake, and a profit of $2 on a Salty Caramel Christmas cake, calculate

(i) the maximum profit

(ii)  the minimum profit

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