6.2) Solving Linear Programming Problems Graphically RESOURCE ALLOCATION: Your salami manufacturing plant can order up to 1,000 punds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialities: COUNT DRACULA SALAMI and FRANKENSTEIN SAUSAGE. Production of the Count Dracula variety requires 1 pund of pork and 3 punds of beef for each salami, while the Frankenstein variety requires 2 punds of pork and 2 pounds of beef for every sausage. In view of your heavy investment in advertising Count Dracula Salami, you have decided that at least one third of the total production should be Count Dracula. On the other hand, because of the health-concious consumer climate, your Frankenstein Sausage(sold as having less beef) is earning your comapny a profit of $3 per sausage, while sales of the Count Dracula variety are down and it is earning your company only $1 per salami. Given these restrictions, How many of each kind of sausage should you produce to maximize profits, and what is the maximum possible profit?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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6.2) Solving Linear Programming Problems Graphically

RESOURCE ALLOCATION: Your salami manufacturing plant can order up to 1,000 punds of pork and 2,400 pounds of beef per day for use in manufacturing its two specialities: COUNT DRACULA SALAMI and FRANKENSTEIN SAUSAGE. Production of the Count Dracula variety requires 1 pund of pork and 3 punds of beef for each salami, while the Frankenstein variety requires 2 punds of pork and 2 pounds of beef for every sausage. In view of your heavy investment in advertising Count Dracula Salami, you have decided that at least one third of the total production should be Count Dracula. On the other hand, because of the health-concious consumer climate, your Frankenstein Sausage(sold as having less beef) is earning your comapny a profit of $3 per sausage, while sales of the Count Dracula variety are down and it is earning your company only $1 per salami. Given these restrictions, How many of each kind of sausage should you produce to maximize profits, and what is the maximum possible profit?

 

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