The international chef, Inc. markets 3 blends of tea: premium, Duke Grey, and breakfast. The firm uses tea leaves from India,China, and new domestic California sources. Net profit per pound for each blend is $0.50 for premium, $0.30 for Duke Grey, and $0.20 for breakfast. The firm's regular weekly supplies are 20,000 lbs of Indian tea leaves, 22,000 lbs of Chinese, and 16,000 of California. Develop and solve a linear optimatization model to determine the optimal mix to maximize profit and write short memo to the president, explaining the sensitiviy infor in a language she can understand.
Table:
tea leaves percent
quality indian chinese California
Premium 40 20 20
Duke Grey 20 30 40
Breakfast 40 40 40