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 Hours 4 4 8 Y Hours 6 |0o0 | 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.
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 Hours 4 4 8 Y Hours 6 |0o0 | 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.
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
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