Question: In this assignment, you will formulate and solve mathematical problems using python in google colab. You will submit two files: 1. A word file with

In this assignment, you will formulate and solve mathematical problems using python in google colab. You will submit two files:

1. A word file with the mathematical formulations of the problems,

2. An .ipynb file with solutions for each problem

2. The SilverCo Company desires to blend a new alloy of 40 percent tin, 35 percent zinc, and 25 percent lead from several available alloys having the following properties:

Alloy

Property

1

2

3

4

5

Percentage of tin

60

25

45

20

50

Percentage of zinc

10

15

45

50

40

Percentage of lead

30

60

10

30

10

Cost ($/lb)

22

20

25

24

27

The objective is to determine the proportions of these alloys that should be blended to produce the new alloy at a minimum cost.

Formulate a linear programming model for this problem (You need to clearly define decision variables, generate the objective function and constraints).

Solve it using pyomo.

*****PLEASE USE PYTHON TO SOLVE

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