Question
A company produces two types of products, Product A and Product B , using two machines, Machine X and Machine Y . Each unit of
A company produces two types of products, Product A and Product B using two machines, Machine X and Machine Y Each unit of Product A requires hours on Machine X and hours on Machine Y while each unit of Product B requires hour on Machine X and hours on Machine Y The company has hours available on Machine X and on Machine Y per week. Additionally, the company must satisfy the following constraints:
The company cannot produce more than units of Product A per week.
The profit per unit of Product A is $ and the profit per unit of Product B is $ The company wishes to determine how many units of each product to produce weekly to maximize total profit.
a points Write down a linear programming model for this problem. Explain each variable and constraint.
b points Use the graphical method to solve this model.
c points bonus Use the simplex algorithm. Show the entire process step by step and ensure your final answer is consistent with part b
d points Use Python via the package we introduced in this course to solve this problem, and make sure your answer is consistent with part b Also, report the sensitivity analysis parameters such as slack and shadow prices for all constraints.
e points What constraints are binding? Interpret the shadow price value of each constraint. use python
Step by Step Solution
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Step: 1
Lets go through each part of the question stepbystep Part a Linear Programming Model Define the Variables Let x x x be the number of units of Product A produced per week Let y y y be the number of uni...Get Instant Access to Expert-Tailored Solutions
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Step: 2
Step: 3
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