In Problems 39-47, construct a mathematical model in the form of a linear programming problem. Do not solve. Trail mix. A company makes two brands of trail mix, regular and deluxe, by mixing dried fruits, nuts, and cereal. The recipes for the mixes are given in the table. The company has 1 , 200 pounds of dried fruits, 750 pounds of nuts, and 1 , 500 pounds of cereal for the mixes. The company makes a profit of $ 0.40 on each pound of regular mix and $ 0.70 on each pound of deluxe mix. How many pounds of each ingredient should be used in each mix in order to maximize the company’s profit?
In Problems 39-47, construct a mathematical model in the form of a linear programming problem. Do not solve. Trail mix. A company makes two brands of trail mix, regular and deluxe, by mixing dried fruits, nuts, and cereal. The recipes for the mixes are given in the table. The company has 1 , 200 pounds of dried fruits, 750 pounds of nuts, and 1 , 500 pounds of cereal for the mixes. The company makes a profit of $ 0.40 on each pound of regular mix and $ 0.70 on each pound of deluxe mix. How many pounds of each ingredient should be used in each mix in order to maximize the company’s profit?
Solution Summary: The author explains the mathematical model in the form of a linear programming problem of the amount (in pounds) of each ingredient that must be used in each mix.
In Problems 39-47, construct a mathematical model in the form of a linear programming problem. Do not solve.
Trail mix. A company makes two brands of trail mix, regular and deluxe, by mixing dried fruits, nuts, and cereal. The recipes for the mixes are given in the table. The company has
1
,
200
pounds of dried fruits,
750
pounds of nuts, and
1
,
500
pounds of cereal for the mixes. The company makes a profit of
$
0.40
on each pound of regular mix and
$
0.70
on each pound of deluxe mix. How many pounds of each ingredient should be used in each mix in order to maximize the company’s profit?
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