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A plane delivers two types of cargo between two destinations. Each crate of cargo I is...

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Basic Math

A plane delivers two types of cargo between two destinations.Each crate of cargo I is 7 cubic feet in volume and 131 pounds inweight, and earns $20 in revenue. Each crate of cargo II is 7 cubicfeet in volume and 262 pounds in weight, and earns $25 in revenue.The plane has available at most 525 cubic feet and 12,576 poundsfor the crates. Finally, at least twice the number of crates of Ias II must be shipped. Find the number of crates of each cargo toship in order to maximize revenue. Find the maximum revenue.

crates of cargo 1

crates of cargo 2

maximum revenue $

2. National Business Machines manufactures x model Afax machines and y model B fax machines. Each model Acosts $100 to make, and each model B costs $150. The profits are$45 for each model A and $30 for each model B fax machine. If thetotal number of fax machines demanded per month does not exceed2500 and the company has earmarked no more than $600,000/month formanufacturing costs, how many units of each model should Nationalmake each month to maximize its monthly profit?

(x,y)=



What is the optimal profit?

Answer & Explanation Solved by verified expert
3.8 Ratings (484 Votes)
1Itz given plane delivers two types of cargo between twodestinationsEach crate of cargo Ivolume7 cubic feetweight131 pounds and revenue earned20Each crate of cargo Ilvolume7 cubic feetweight262 pounds and revenue earned25plane restrictionsthe plane can carry no more than 525 cubic feet of crates nomore than 12576 poundslet x be number of crates of cargo llet y be the number of crates of cargo llConstraintThe plane can carry no more than 525 cubic feet of crates cubic feet of cargo l cubic feet of cargo 2 525ft3ConstraintThe truck can carry no more than 12576 pounds weight of A weight of B    See Answer
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