Please show your math! Steel Mills in three cities produce the following amounts of steels: Location Weekly Production (tons) A. Bethlehem 150 B. Birmingham 210 C. Gary 260 Total 620 These Mills supply steel to four cities, where manufacturing plants have the following demand: Location Weekly Demand (tons) 1. Detroit 130 2. St. Louis 70 3. Chicago 180 4. Norfolk 240 Total 620 Shipping Costs per ton of steel are as follows: To (Cost) Form 1. Detroit 2. St. Louis 3. Chicago 4. Norfolk A. Bethlehem $14 $9 $16 $18 B. Birmingham $11 $B $7 $16 C. Gary $16 $12 $10 $22 a. Write down the function for Total cost in cell B19. b. Find the Minimum cost in cell B19 using Solver in Excel.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section6.5: Set-covering And Location-assignment Models
Problem 32P
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Please show your math!
Steel Mills in three cities produce the following amounts of steels:
Location
Weekly Production (tons)
A. Bethlehem
150
B. Birmingham
210
C. Gary
260
Total
620
These Mills supply steel to four cities, where manufacturing plants have the following demand:
Location
Weekly Demand (tons)
1. Detroit
130
2. St. Louis
70
3. Chicago
180
4. Norfolk
240
Total
620
Shipping Costs per ton of steel are as follows:
To (Cost)
3. Chicago
Form
1. Detroit
2. St. Louis
4. Norfolk
A. Bethlehem
$14
$9
$16
$18
B. Birmingham
$11
$8
$7
$16
C. Gary
$16
$12
$10
$22
a. Write down the function for Total cost in cell B19.
b. Find the Minimum cost in cell B19 using Solver in Excel.
Transcribed Image Text:Please show your math! Steel Mills in three cities produce the following amounts of steels: Location Weekly Production (tons) A. Bethlehem 150 B. Birmingham 210 C. Gary 260 Total 620 These Mills supply steel to four cities, where manufacturing plants have the following demand: Location Weekly Demand (tons) 1. Detroit 130 2. St. Louis 70 3. Chicago 180 4. Norfolk 240 Total 620 Shipping Costs per ton of steel are as follows: To (Cost) 3. Chicago Form 1. Detroit 2. St. Louis 4. Norfolk A. Bethlehem $14 $9 $16 $18 B. Birmingham $11 $8 $7 $16 C. Gary $16 $12 $10 $22 a. Write down the function for Total cost in cell B19. b. Find the Minimum cost in cell B19 using Solver in Excel.
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9781337406659
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WINSTON, Wayne L.
Publisher:
Cengage,