A truck is used to ship two products from a workshop to a customer location that is 100 km far away. The shipping details are illustrated below. The allocated budget for the shipping trip is $1000. The two products are packaged in cartons that have the same size and the truck capacity is up to 500 cartons. If the problem is formulated as a LP, answer the following questions: (You may attach your solution or write in the box). a) Define the decision variables (1 mark) b) Write all constraints (2 marks) c) Write the objective function (define whether it is a maximization or minimization) Cost of shipping Profit gained $2/carton Product 1 $0.025/carton.km Product 2 $0.05/carton.km $3/carton

EBK JAVA PROGRAMMING
9th Edition
ISBN:9781337671385
Author:FARRELL
Publisher:FARRELL
Chapter6: Looping
Section: Chapter Questions
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A truck is used to ship two products from a
workshop to a customer location that is 100
km far away. The shipping details are
illustrated below. The allocated budget for
the shipping trip is $1000. The two products
are packaged in cartons that have the same
size and the truck capacity is up to 500
cartons. If the problem is formulated as a LP,
answer the following questions:
(You may attach your solution or write in
the box).
a)
Define the decision variables (1 mark)
b)
Write all constraints (2 marks)
c)
Write the objective function (define
whether it is a maximization or minimization)
Cost of shipping Profit gained
Product 1
$0.025/carton.km
$2/carton
Product 2
$0.05/carton.km
$3/carton
Transcribed Image Text:A truck is used to ship two products from a workshop to a customer location that is 100 km far away. The shipping details are illustrated below. The allocated budget for the shipping trip is $1000. The two products are packaged in cartons that have the same size and the truck capacity is up to 500 cartons. If the problem is formulated as a LP, answer the following questions: (You may attach your solution or write in the box). a) Define the decision variables (1 mark) b) Write all constraints (2 marks) c) Write the objective function (define whether it is a maximization or minimization) Cost of shipping Profit gained Product 1 $0.025/carton.km $2/carton Product 2 $0.05/carton.km $3/carton
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