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.

Net profit per pound for each blend is $$0\mathrm{.}50$ for premium, $$0\mathrm{.}30$ for Duke Grey, and $$0\mathrm{.}45$ for breakfast. The firm's regular weekly supplies are $19,000$ pounds of Indian tea leaves,

$22,000$ pounds of Chinese tea leaves, and $17,000$ pounds of California tea leaves. Develop and solve a linear optimization model to determine the optimal mix to maximize profit.

Click here to view the tea blends data.

Complete the table below to indicate the number of pounds of each type of tea leaf to produce to optimize the profit, and then give the total profit earned.

$($Round to the nearest whole number as needed.$)$

Pounds to Produce

Tea Blends Data

Total Profit $=$$$14200$

Tea Leaves $($percent$)$

Tea Leaves $($percent$)$