# A plane delivers two types of cargo between two destinations. Each crate of cargo I is 7 cubic feet in volume and 97 pounds in weight, and earns \$30 in revenue. Each crate of cargo II is 7 cubic feet in volume and 194 pounds in weight, and earns \$45 in revenue. The plane has available at most 455 cubic feet and 8,148 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.crates of cargo I  crates of cargo II  maximum revenue \$

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A plane delivers two types of cargo between two destinations. Each crate of cargo I is 7 cubic feet in volume and 97 pounds in weight, and earns \$30 in revenue. Each crate of cargo II is 7 cubic feet in volume and 194 pounds in weight, and earns \$45 in revenue. The plane has available at most 455 cubic feet and 8,148 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number of crates of each cargo to ship in order to maximize revenue. Find the maximum revenue.

 crates of cargo I crates of cargo II maximum revenue \$
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Step 1

According to the given information:

Let x be the number of crate of cargo I

Let y be the number of crate of cargo II

According to the question the system of equations formed is:

Step 2

Write the first inequality in terms of x and substitute into another that is:

Step 3

Since the highest value of x is 46 and highest value of y is 19 so, we can assume that that maximum value will maximize the revenue....

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### Linear Programming 