Question
Steel mills in three cities produce the following amounts of steel: Location Weekly Production (tons) Bethlehem 210 Birmingham 240 Gary 320 770 These mills supply
Steel mills in three cities produce the following amounts of steel:
Location | Weekly Production (tons) |
Bethlehem | 210 |
Birmingham | 240 |
Gary | 320 |
| 770 |
These mills supply steel to four cities, where manufacturing plants have the following demand:
Location | Weekly Demand (tons) |
1. Detroit | 200 |
2. St. Louis | 110 |
3. Chicago | 190 |
4. Norfolk | 240 |
| 740 |
Shipping costs per ton of steel are as follows:
To (cost) | ||||
From | 1 | 2 | 3 | 4 |
A | $14 | $9 | $16 | $18 |
B | 11 | 8 | 7 | 16 |
C | 16 | 12 | 10 | 22 |
Because of a truckers strike, shipments are prohibited from Bethlehem to St. Louis. You would like to determine how many tons of steel to transport from each steel mill to each manufacturing plants.
Formulate this problem as a linear programming model and solve it using the computer. What would be the effect on the slacks of the production in Gary of a reduction in production capacity at the Gary mill from 320 tons to 290 tons per week?
The slack in the Gary mill does not change. | ||
The slack in the Gary mill decreases by 20 tons. | ||
The slack in the Gary mill increases by 20 tons. | ||
The slack in the Gary mill decreases by 30 tons. | ||
The slack in the Gary mill increases by 30 tons. |
Step by Step Solution
There are 3 Steps involved in it
Step: 1
Get Instant Access to Expert-Tailored Solutions
See step-by-step solutions with expert insights and AI powered tools for academic success
Step: 2
Step: 3
Ace Your Homework with AI
Get the answers you need in no time with our AI-driven, step-by-step assistance
Get Started