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A plane delivers two types of cargo between two destinations. Each crate of cargo I is 5 cubic feet in volume and 77 pounds in weight, and earns$20 in revenue. Each crate of cargo II is 5 cubic feet in volume and 154 pounds in weight, and earns $30 in revenue. The plane has available atmost 425 cubic feet and 7,700 pounds for the crates. Finally, at least twice the number of crates of I as II must be shipped. Find the number ofcrates of each cargo to ship in order to maximize revenue. Find the maximum revenuecrates of cargo Icrates of cargo IImaximum revenue $

Question
A plane delivers two types of cargo between two destinations. Each crate of cargo I is 5 cubic feet in volume and 77 pounds in weight, and earns
$20 in revenue. Each crate of cargo II is 5 cubic feet in volume and 154 pounds in weight, and earns $30 in revenue. The plane has available at
most 425 cubic feet and 7,700 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 5 cubic feet in volume and 77 pounds in weight, and earns $20 in revenue. Each crate of cargo II is 5 cubic feet in volume and 154 pounds in weight, and earns $30 in revenue. The plane has available at most 425 cubic feet and 7,700 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

Let there are x crates of cargo 1 and y crates of cargo 2.

Total volume= 5x+5y

So 5x+5y<= 425

Step 2

Total weight = 77x+154y

So, 77x+154y<=7700

 

Step 3

Total revenue= 20x+30y

We hav...

Maximize: R 20x+30y
Subject to
5x+5y425
77x+154y 7700
y>0
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Maximize: R 20x+30y Subject to 5x+5y425 77x+154y 7700 y>0

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