A package delivery service has a truck that can hold 4200 pounds of cargo and has a capacity
of 480 cubic feet.

The service handles two types of packages: small, which weight up to 25 pounds each and are no more than 3 cubic feet each; and large, which are 25 to 50 pounds each and are 3 to 5 cubic feet each.

The delivery service charges $5 for each small package and $8 for each large package.

Find the number of each type of package that should be
placed on a truck to maximize revenue.

x = # of small packages
Y= # of large packages

Objective Function: 5x+8y= P(x,y)

Find the constraints and explain

Question

01-10-2022
Mathematics

Answered

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A package delivery service has a truck that can hold 4200 pounds of cargo and has a capacity
of 480 cubic feet.

The service handles two types of packages: small, which weight up to 25 pounds each and are no more than 3 cubic feet each; and large, which are 25 to 50 pounds each and are 3 to 5 cubic feet each.

The delivery service charges $5 for each small package and $8 for each large package.

Find the number of each type of package that should be
placed on a truck to maximize revenue.

x = # of small packages
Y= # of large packages

Objective Function: 5x+8y= P(x,y)

Find the constraints and explain

Sagot :

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