A cereal manufacturer makes two different kinds of cereal, Senior Citizen's Feast and Kids Go. Each pound of Senior Citizen's Feast requires 0.6 lb of wheat and 0.2 lb of vitamin-enriched syrup, and each pound of Kids Go requires 0.4 lb of wheat, 0.2 lb of sugar, and 0.2 lb of vitamin-enriched syrup. Suppliers can deliver at most 2800 lb of wheat, at most 800 lb of sugar, and at least 1000 lb of the vitamin-enriched syrup. (a) Write the inequalities that describe how many pounds of each type of cereal can be made. (Let x represent the number of pounds of Senior Citizen's Feast, and let y represent the number of pounds of Kids Go.)               wheat constraint       vitamin-enriched syrup constraint       sugar constraint x ≥ 0 pounds of Senior Citizen's Feast constraint y ≥ 0 pounds of Kids Go constraint (b) Graph the region determined by these constraint inequalities.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 3EQ: A florist offers three sizes of flower arrangements containing roses, daisies, and chrysanthemums....
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A cereal manufacturer makes two different kinds of cereal, Senior Citizen's Feast and Kids Go. Each pound of Senior Citizen's Feast requires 0.6 lb of wheat and 0.2 lb of vitamin-enriched syrup, and each pound of Kids Go requires 0.4 lb of wheat, 0.2 lb of sugar, and 0.2 lb of vitamin-enriched syrup. Suppliers can deliver at most 2800 lb of wheat, at most 800 lb of sugar, and at least 1000 lb of the vitamin-enriched syrup.

(a) Write the inequalities that describe how many pounds of each type of cereal can be made. (Let x represent the number of pounds of Senior Citizen's Feast, and let y represent the number of pounds of Kids Go.)
 
 
 
 
     
wheat constraint
 
 
 
vitamin-enriched syrup constraint
 
 
 
sugar constraint
x ≥ 0 pounds of Senior Citizen's Feast constraint
y ≥ 0 pounds of Kids Go constraint


(b) Graph the region determined by these constraint inequalities.
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