Question: This Question has multiple parts I will attach an image Milford Lumber Company ships construction materials from three wood-processing plants to three retail stores. The

This Question has multiple parts I will attach an image Milford Lumber Company ships construction materials from three wood-processing plants to three retail stores. The shipping cost, monthly production capacities, and monthly demand for framing lumber are given below.

Plant Store A Store B Store C Capacity
1 $4.50 $3.10 $2.00 280
2 $5.10 $2.60 $3.80 460
3 $4.10 $2.90 $4.00 300
Demand 250 600 150

Formulate a linear optimization model for this problem, implement your model on a spredsheet, and use Excel Solver to find a solution that minimizes total distribution costs. If the constant is equal to one, enter "1".

Let:
X11 = number of components produced in Plant 1 and supplied to Store A
X12 = number of components produced in Plant 1 and supplied to Store B
X13 = number of components produced in Plant 1 and supplied to Store C
X21 = number of components produced in Plant 2 and supplied to Store A
X22 = number of components produced in Plant 2 and supplied to Store B
X23 = number of components produced in Plant 2 and supplied to Store C
X31 = number of components produced in Plant 3 and supplied to Store A
X32 = number of components produced in Plant 3 and supplied to Store B
X33 = number of components produced in Plant 3 and supplied to Store C

Min X11 + X12 + X13 + X21 + X22 + X23 + X31 + X32 + X33
Subject to the constraints
X11 + X12 + X13 -Select-=Item 13
X21 + X22 + X23 -Select-=Item 18
X31 + X32 + X33 -Select-=Item 23
X11 + X21 + X31 -Select-=Item 28
X12 + X22 + X32 -Select-=Item 33
X13 + X23 + X33 -Select-=Item 38
X11, X12, X13, X21, X22, X23, X31, X32, X33 0

What is the value of total distribution costs at the optimal solution? Use the Excel solver to find the optimal solution. Round your answer to the nearest dollar.

$

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