Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂.

MARKETING 2018
19th Edition
ISBN:9780357033753
Author:Pride
Publisher:Pride
Chapter14: Marketing Channels And Supply Chain Management
Section14.1: Taza Cultivates Channel Relationships With Chocolate
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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 $0.40 per bottle of dark beer.
The following table shows resource availability of products at the Mile-High
Microbrewery:
Resource
Barley
Bottling
Market
Product
Dark
beer,
X₂
Light beer,
X₁
0.1 gram
1 bottle
1 bottle
0.3 gram
1 bottle
a. Let X₁ = number of bottles of light beer,
X₂ = number of bottles of dark beer.
Resource
availability (per
month)
1,500 grams
6.000 bottles
4,000 bottles
Create a set of linear equations to describe the objective function and the
constraints.
Objective function: Maximize Z = x₁ + x₂.
6000
5500-
5000-
4500-
4000-
3500-
3000
2500-
2000-
1500-
1000-
500-
0+
0
2000
4000
Objective functions
X1
6000
8000 10000
Transcribed Image Text: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 $0.40 per bottle of dark beer. The following table shows resource availability of products at the Mile-High Microbrewery: Resource Barley Bottling Market Product Dark beer, X₂ Light beer, X₁ 0.1 gram 1 bottle 1 bottle 0.3 gram 1 bottle a. Let X₁ = number of bottles of light beer, X₂ = number of bottles of dark beer. Resource availability (per month) 1,500 grams 6.000 bottles 4,000 bottles Create a set of linear equations to describe the objective function and the constraints. Objective function: Maximize Z = x₁ + x₂. 6000 5500- 5000- 4500- 4000- 3500- 3000 2500- 2000- 1500- 1000- 500- 0+ 0 2000 4000 Objective functions X1 6000 8000 10000
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