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Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wines: Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry.

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Q1 - Linear Programming

Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wines:
Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry.

The raw materials, labour, and profit for a 5 litre container of each of these wines are summarised in the table below:
Wine Grade A Grapes (bushels) Grade B Grapes (bushels) Sugar (kg) Labour (hr) Profit /5

Heidelberg Sweet 1 1 1 2 $1.00
Heidelberg Regular 2 0 0.5 3 $1.20
Deutschland Extra Dry 0 2 0 1 $2.00

If the winery has 150 bushels of grade A grapes, 150 bushels of grade B grapes, 40 kg of sugar, and 225 labour-hours available during the next week, what product mix of wines will maximize the company's profit?

1.1 Solve the above problem using the simplex method.

1.2 An increase in which resources could improve the company's profit? Explain

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Ye Olde Cording Winery in Peoria, Illinois, makes three kinds of authentic German wines:
Heidelberg Sweet, Heidelberg Regular, and Deutschland Extra Dry.

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