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(Solved) 1) A local ice cream stand specializes in two flavors: Vanilla and Chocolate. Each quart of Vanilla requires 1 units of cream, 3 units of vanilla...


1)

A local ice cream stand specializes in two flavors: Vanilla and Chocolate. Each quart of Vanilla requires 1 units of cream, 3 units of vanilla extract, and 1 unit of sugar. Each quart of Chocolate requires 4 units of cream, 1 unit of vanilla extract, and 1 unit of sugar. This week, the stand has 1120 units of cream, 665 units of vanilla extract, and 315 units of sugar. The stand makes a profit of $5.50 on each quart of Vanilla and $3.25 on each quart of Chocolate. How many quarts of each flavor should the stand make? What is its maximum profit?

Summarize the restraints in the table below.
Vanilla Chocolate Total
Cream          
Vanilla Extract           
Sugar          


Now graph the restraints on your own paper. Don't forget to assume the stand will not make a negative amount of ice cream.

Find all of the corner points, and then fill in the table below. Sort your list of corner points in order from least amount of Vanilla to most, followed by least amount of Chocolate to most.
Coordinates p
(      ,      )   
(      ,      )
(      ,      )   
(     ,     )   
(    ,      )




Thus, the stand should make ________      quarts of Vanilla and _____      quarts of chocolate for a profit of  _____________    .

 


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