The International Chef, Inc., markets three blends of oriental tea: premium, Duke Grey, and breakfast. The firm uses tea leaves from India, China, and new domestic California sources. Tea Leaves (composition in %) Blend -Premium -Duke Grey -Breakfast Indian Chinese California 40% 30% 40% 20% 40% 50% 20% 40% 20% Net profit per pound for each blend is $0.50 for premium, $0.30 for Duke Grey, and $0.35 for breakfast (objective function). The firm's regular weekly supplies are 19,000 pounds of Indian tea leaves, 22,000 pounds of Chinese tea leaves, and 16,000 pounds of California tea leaves (constraints). Develop and solve a linear optimization model to determine the optimal mix to maximize profit.

Practical Management Science
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The International Chef, Inc., markets three blends of oriental tea: premium, Duke Grey, and breakfast.
The firm uses tea leaves from India, China, and new domestic California sources.
Tea Leaves (composition in %)
Blend
-Premium
-Duke Grey
-Breakfast
Indian
40%
30%
40%
Chinese California
20% 40%
50%
20%
40%
20%
Net profit per pound for each blend is $0.50 for premium, $0.30 for Duke Grey, and $0.35 for breakfast
(objective function).
The firm's regular weekly supplies are 19,000 pounds of Indian tea leaves, 22,000 pounds of Chinese tea
leaves, and 16,000 pounds of California tea leaves (constraints).
Develop and solve a linear optimization model to determine the optimal mix to maximize profit.
Transcribed Image Text:The International Chef, Inc., markets three blends of oriental tea: premium, Duke Grey, and breakfast. The firm uses tea leaves from India, China, and new domestic California sources. Tea Leaves (composition in %) Blend -Premium -Duke Grey -Breakfast Indian 40% 30% 40% Chinese California 20% 40% 50% 20% 40% 20% Net profit per pound for each blend is $0.50 for premium, $0.30 for Duke Grey, and $0.35 for breakfast (objective function). The firm's regular weekly supplies are 19,000 pounds of Indian tea leaves, 22,000 pounds of Chinese tea leaves, and 16,000 pounds of California tea leaves (constraints). Develop and solve a linear optimization model to determine the optimal mix to maximize profit.
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