LP model that will minimize total cost for the company

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Can someone help me figure out the deciding variables and constraints for this problem?



A company has signed contracts to deliver 30 units of their product in June, 15 units in July and 15 units in August. They begin June with 5 units in the inventory. They can produce 15 units per month on regular time shifts at a unit cost of P100 and 5 additional units per month on an optional overtime shift at a unit cost of P120. They can store units at P8 per unit per month. They can also have the option to borrow units from a similar producer at a cost of P10 per unit per month until they can repay him in units from their own production. This allows them to deliver units ahead of the time they produce them.



Thanks!




linear-programming operations-research




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  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 29 at 9:10










  • Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
    – Kuifje
    Aug 29 at 9:27














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Can someone help me figure out the deciding variables and constraints for this problem?



A company has signed contracts to deliver 30 units of their product in June, 15 units in July and 15 units in August. They begin June with 5 units in the inventory. They can produce 15 units per month on regular time shifts at a unit cost of P100 and 5 additional units per month on an optional overtime shift at a unit cost of P120. They can store units at P8 per unit per month. They can also have the option to borrow units from a similar producer at a cost of P10 per unit per month until they can repay him in units from their own production. This allows them to deliver units ahead of the time they produce them.



Thanks!




linear-programming operations-research




share|cite|improve this question




















  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 29 at 9:10










  • Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
    – Kuifje
    Aug 29 at 9:27












up vote
0
down vote

favorite









up vote
0
down vote

favorite











Can someone help me figure out the deciding variables and constraints for this problem?



A company has signed contracts to deliver 30 units of their product in June, 15 units in July and 15 units in August. They begin June with 5 units in the inventory. They can produce 15 units per month on regular time shifts at a unit cost of P100 and 5 additional units per month on an optional overtime shift at a unit cost of P120. They can store units at P8 per unit per month. They can also have the option to borrow units from a similar producer at a cost of P10 per unit per month until they can repay him in units from their own production. This allows them to deliver units ahead of the time they produce them.



Thanks!




linear-programming operations-research




share|cite|improve this question












Can someone help me figure out the deciding variables and constraints for this problem?



A company has signed contracts to deliver 30 units of their product in June, 15 units in July and 15 units in August. They begin June with 5 units in the inventory. They can produce 15 units per month on regular time shifts at a unit cost of P100 and 5 additional units per month on an optional overtime shift at a unit cost of P120. They can store units at P8 per unit per month. They can also have the option to borrow units from a similar producer at a cost of P10 per unit per month until they can repay him in units from their own production. This allows them to deliver units ahead of the time they produce them.



Thanks!





linear-programming operations-research





share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Aug 29 at 9:08







user588092


















  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 29 at 9:10










  • Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
    – Kuifje
    Aug 29 at 9:27
















  • Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 29 at 9:10










  • Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
    – Kuifje
    Aug 29 at 9:27















Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 29 at 9:10




Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 29 at 9:10












Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
– Kuifje
Aug 29 at 9:27




Hint : can you figure out the equation that models the stock evolution ? ($s_t+1=s_t+...-...$). This is the key to your problem
– Kuifje
Aug 29 at 9:27















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