Question 216840
Lumber Company can convert logs into either Lumber or plywood. In a given week the mill can turn out 400 units of production, of which 100 units of lumber and 150 units of plywood are required by regular customers. The profit on a unit of lumber is $20 and on a unit of plywood is $30. How many units of each type should the mill produce in order to maximize profit. 
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L >= 0
P >= 0
L + P = 400
Lumber Inequality: 100 <= L <=400
Plywood Inequality: 150<= P <= 400
Objective Function: Profit = 20L + 30P
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Let the horizontal axis be "L"; Let the vertical axis be "P"
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Draw vertical lines at L = 100 and at L = 400
Draw horizontal lines at P = 150 and at P = 400
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Graph the line P = -L+400
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Find the intersection points and check there coordinates
in the Objective Function to see which pair gives the 
maximum profit.
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Cheers,
Stan H.