For the information given above: a. Define your variables, list the inequalities and state your objective function. b. Calculate how much of X and Y should be supplied in order to meet the terms of the contract using the graphical method.
For the information given above: a. Define your variables, list the inequalities and state your objective function. b. Calculate how much of X and Y should be supplied in order to meet the terms of the contract using the graphical method.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
Related questions
Question
Quantitative Methods II - Question 2. Please answer a & b. Thank you
![Question 2
Supply Essentials has signed a new contract to supply a customer
with at least 260 units in total of two products, X & Y, during the
next few months. At least 50% of the total output must be units of
X. The products are each made by two grades of labour, as follows.
Grade A labour
Grade B labour
Total
X
Hours
4
8
Y
Hours
6
do
2
Although additional labour can be made available at short notice,
the company wishes to make use of 1,200 hours of Grade A
labour and 800 hours of Grade B labour which has already been
assigned to working on the contract next month. The total
variable cost per unit is $120 for X and $100 for Y.
Supply Essentials wishes to minimize expenditure on the contract
next month.
For the information given above:
a. Define your variables, list the inequalities and state your
objective function.
b. Calculate how much of X and Y should be supplied in order to
meet the terms of the contract using the graphical method.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa2dfc108-a74f-4e3e-8a34-0c944bd36eca%2F54d88dc6-9cef-4a37-9526-a04b6187b6b0%2Fzqhqtk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 2
Supply Essentials has signed a new contract to supply a customer
with at least 260 units in total of two products, X & Y, during the
next few months. At least 50% of the total output must be units of
X. The products are each made by two grades of labour, as follows.
Grade A labour
Grade B labour
Total
X
Hours
4
8
Y
Hours
6
do
2
Although additional labour can be made available at short notice,
the company wishes to make use of 1,200 hours of Grade A
labour and 800 hours of Grade B labour which has already been
assigned to working on the contract next month. The total
variable cost per unit is $120 for X and $100 for Y.
Supply Essentials wishes to minimize expenditure on the contract
next month.
For the information given above:
a. Define your variables, list the inequalities and state your
objective function.
b. Calculate how much of X and Y should be supplied in order to
meet the terms of the contract using the graphical method.
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