Company X has 3 types of products and due to the limited availability of raw materials, the production of products are also limited.
They have partnered with Store A for them to sell their products. Store A has 5 branches with different amount of demands for each product type but due to the limited number of products available, not all branches will be allocated.
How can I transform this into a LP model where it selects the branch while maximizing profits? Or if this doesn't make sense, how should I improve my problem?
|Product Type||Profits (USD/piece)||Available Supply|
|Branch||Type 1 Demand||Type 2 Demand||Type 3 Demand|
I only came up with the parameters and decision variable so far.
v = index of vendors/sellers, v= 1,2,...m
Ni = minimum # of product type i for vendor/seller v
Ov = maximum # of product type i for vendor/seller v
Wiv = # of allocated product type i to product for vendor/seller v
**Will update this one with the LP model I formulated as soon as I'm done.