Mile-High Microbrewery makes a light beer and a dark beer. Mile-High has a limited supply of barley, limited bottling capacity, and a limited market for light beer. Profits are $0.20 per bottle of light beer and $0.50 per bottle of dark beer. a. The following table shows resource availability of products at the Mile-High Microbrewery. Use the graphic method of linear programming tomaximize profits. How many bottles of each product should be producedper month?PRODUCTLight Beer(x1)0.1 gram1 bottle1 bottleResource Availability(per month)2,000 grams6,000 bottles4,000 bottlesDark BeerResourceBarleyBottling(x2)0.6 gram1 bottleMarketb. Identify any constraints with slack or surplus.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Mile-High Microbrewery makes a light beer and a dark beer. Mile-High has a
limited supply of barley, limited bottling capacity, and a limited market for light beer. Profits are $0.20 per bottle of light beer and $0.50 per bottle of dark beer.

a. The following table shows resource availability of products at the Mile-
High Microbrewery. Use the graphic method of linear programming to
maximize profits. How many bottles of each product should be produced
per month?
PRODUCT
Light Beer
(x1)
0.1 gram
1 bottle
1 bottle
Resource Availability
(per month)
2,000 grams
6,000 bottles
4,000 bottles
Dark Beer
Resource
Barley
Bottling
(x2)
0.6 gram
1 bottle
Market
b. Identify any constraints with slack or surplus.

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