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The Country Porch decided to create their own blend of coffee called Country Blend from a mix of Kona and Columbian beans but they want to minimize their blend cost. The blend will use between 5 pounds and 30 pounds of Kona beans. The blend will use between 7 pounds and 25 pounds of Columbian beans. They will make no more than 40 pounds of Country Blend each week. The Kona beans cost $4.00 per pound. The Columbian beans cost $3.50 per pound. Let x represent the pounds of Kona beans and y represent the pounds of Columbian beans used in the Country blend. 1.Write the constraints for this scenario. 2.Is the feasible region bounded or unbounded? If unbounded, is there a maximum or minimum? a. bounded b. unbounded, minimum c. unbounded, maximum d. None of these 3.Name the vertices of the feasible region. 4.How many pounds of Kona beans should be used in the Country Blend to minimize costs?
@Imamazingallthetime22 @jacob1233 i thought ya'll were going to help me???
this is linear programming problem let Kona beans be denoted by k and Columbian beans by c so our objective function is minimize 4k+3.5c subject to conditions 5<=k<=30 7<=c<=25 k+c=>40 k>0 c>0
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