For the following problem, provide an objective in words, data definition, variable definition, and algebraic formulation (using summation notation when possible). You do not need to implement and solve. Submit your solution as an attached file. You may type up your work using Microsoft Word. A beverage can manufacturer makes three sizes of soft drink cans-Small, Medium and Large. Production is limited by machine availability, with a combined maximum of 90 production hours per day, and the daily supply of metal, no more than 120 kg per day. The following table provides the details of the input needed to manufacture one batch of 100 cans for each size. Small Medium Large Maximum Metal (kg)/batch 5 120 Machine 4.0 4.2 4.4 90 Time(hr)/batch Profit/batch $42 $45 $50

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter7: Nonlinear Optimization Models
Section: Chapter Questions
Problem 49P: If a monopolist produces q units, she can charge 400 4q dollars per unit. The variable cost is 60...
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For the following problem, provide an objective in words, data definition, variable definition, and
algebraic formulation (using summation notation when possible). You do not need to implement
and solve.
Submit your solution as an attached file. You may type up your work using Microsoft Word.
A beverage can manufacturer makes three sizes of soft drink cans-Small, Medium and Large. Production is
limited by machine availability, with a combined maximum of 90 production hours per day, and the daily supply
of metal, no more than 120 kg per day. The following table provides the details of the input needed to
manufacture one batch of 100 cans for each size.
Small
Iedium
Large
Махimum
Metal (kg)/batch
120
Machine
4.0
|4.2
4.4
90
Time(hr)/batch
Profit/batch
$42
$45
$50
Transcribed Image Text:For the following problem, provide an objective in words, data definition, variable definition, and algebraic formulation (using summation notation when possible). You do not need to implement and solve. Submit your solution as an attached file. You may type up your work using Microsoft Word. A beverage can manufacturer makes three sizes of soft drink cans-Small, Medium and Large. Production is limited by machine availability, with a combined maximum of 90 production hours per day, and the daily supply of metal, no more than 120 kg per day. The following table provides the details of the input needed to manufacture one batch of 100 cans for each size. Small Iedium Large Махimum Metal (kg)/batch 120 Machine 4.0 |4.2 4.4 90 Time(hr)/batch Profit/batch $42 $45 $50
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