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A beverage can manufacturer makes three sizes of soft drink cans—Small, Medium and Large. Production is...

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Statistics

A beverage can manufacturer makes three sizes of soft drinkcans—Small, Medium and Large. Production is limited by machineavailability, with a combined maximum of 105 production hours perday, and the daily supply of metal, no more than 200 kg per day.The following table provides the details of the input needed tomanufacture one batch of 100 cans for each size.

​

                                                                               Cans

Large

Medium

Small

Maximum

Metal (kg)/batch

9

6

5

200

Machines’ Time (hr)/batch

4.4

4.2

4

105

Profit/batch

$51

$40

$42

​

a. Develop a linear programming model by identifying thevariables, writing the objective function

b. Write all necessary constraints

c. Find the maximized profit and determine how many batches ofeach can size should be produced.

Answer & Explanation Solved by verified expert
4.0 Ratings (689 Votes)
AnswerLargeMediumSmallMaximum AvailabilityMetal    See Answer
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