A snack food manufacturer buys corn for tortilla chips from two suppliers, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.30 and the price per unit of the Illinois corn is $5.80. (a) Define variables that would tell how many units to purchase from each source. Let x₁ be the number of units from Iowa, and let x₂ be the number of units ✓ from Illinois. (b) Develop an objective function that would minimize the total cost (in dollars). Min (c) The manufacturer needs at least 12,500 units of corn. The Iowa cooperative can supply up to 8,500 units, and the Illinois cooperative can supply at most 5,500 units. Develop constraints for these conditions. required units of corn Iowa supply Illinois supply

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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A snack food manufacturer buys corn for tortilla chips from two suppliers, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.30 and the price per unit of the Illinois corn is $5.80.
(a) Define variables that would tell how many units to purchase from each source.
Let x₁ be the number of units
from Iowa, and let x2 be the number of units
from Illinois.
(b) Develop an objective function that would minimize the total cost (in dollars).
Min
(c) The manufacturer needs at least 12,500 units of corn. The Iowa cooperative can supply up to 8,500 units, and the Illinois cooperative can supply at most 5,500 units. Develop constraints for these conditions.
required units of corn
Iowa supply
Illinois supply
Transcribed Image Text:A snack food manufacturer buys corn for tortilla chips from two suppliers, one in Iowa and one in Illinois. The price per unit of the Iowa corn is $6.30 and the price per unit of the Illinois corn is $5.80. (a) Define variables that would tell how many units to purchase from each source. Let x₁ be the number of units from Iowa, and let x2 be the number of units from Illinois. (b) Develop an objective function that would minimize the total cost (in dollars). Min (c) The manufacturer needs at least 12,500 units of corn. The Iowa cooperative can supply up to 8,500 units, and the Illinois cooperative can supply at most 5,500 units. Develop constraints for these conditions. required units of corn Iowa supply Illinois supply
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