3 - 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.

The leaves (percent)

QualityIndianChineseCalifornia

Premium 402040

Duke Grey305020

Breakfast404020

Net profit per pound for each blend is $0.50 for premium, $0.30 for Duke Grey, and $0.35 for breakfast. The firm's regular weekly suppliers are 19,000 pounds of Indian tea leaves, 22,000 pounds of Chinese tea leaves, and 16000 pounds of California tea leaves. Develop a linear optimization model to determine the optimal mix to maximize profit (only mathematical formulation). Solve by Excel Solver.