Linear Program Exercise You need to write a program that solves the following the real-world problem: A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales? First, define variables x1, x2, x3, etc. Next, write equations and inequalities that show the constraints. Then, write the objective function. Find the solution by using the SciPy library.

C++ Programming: From Problem Analysis to Program Design
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ISBN:9781337102087
Author:D. S. Malik
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Chapter5: Control Structures Ii (repetition)
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Linear Program Exercise
You need to write a program that solves the following the real-world problem:
A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B,
and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city
A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city
A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will
generate $1800. How many trips should she make to each city to maximize sales?
First, define variables x1, x2, x3, etc.
Next, write equations and inequalities that show the constraints.
Then, write the objective function.
Find the solution by using the SciPy library.
Transcribed Image Text:Linear Program Exercise You need to write a program that solves the following the real-world problem: A businesswoman can travel to city A, city B, or city C. It is 122 miles to city A, 237 miles to city B, and 307 miles to city C. She can travel up to 3000 miles. Dining and other expenses are $95 in city A, $130 in city B, and $180 in city C. Her expense account allows her to spend $2000. A trip to city A will generate $800 in sales, while a trip to city B will generate $1300 and a trip to city C will generate $1800. How many trips should she make to each city to maximize sales? First, define variables x1, x2, x3, etc. Next, write equations and inequalities that show the constraints. Then, write the objective function. Find the solution by using the SciPy library.
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