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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.

Advanced Engineering Mathematics
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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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.
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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