Problem 2. You plan to sell k products to totally n1 + n2 customers in which customers 1, ...,n1 are from Town 1 and customers n, + 1, … ,n1 + n2 are from Town 2. In addition, as the products are very expensive, two customers will co-buy one produce, each getting 50% of the ownership. Due to ... transportation reason, for each product, you have to sell it to two customers from the same town. It is also assumed that each customer can buy at most three products (each with 50% of the ownership) and that each product must be sold to exactly two customers. Let c¡¡ be the price that customer i offers for his/her 50% of the ownership for product j (i = 1, -,n1 + n2;j = 1, , k). Formulate the problem to %3D maximize your total revenue. Clearly define all the decision variables in the beginning of your solution. [Hint: use one variable to denote the customer (selling product j to customer i ?) and another variable to denote the town (selling product j to Town 1?)]

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Problem 2. You plan to sell k products to totally n1 + n2 customers in which customers 1,...,n1 are
from Town 1 and customers n1 + 1, …,n1 + n2 are from Town 2. In addition, as the products are very
'...
expensive, two customers will co-buy one produce, each getting 50% of the ownership. Due to
transportation reason, for each product, you have to sell it to two customers from the same town. It is
also assumed that each customer can buy at most three products (each with 50% of the ownership) and
that each product must be sold to exactly two customers. Let c;; be the price that customer i offers for
his/her 50% of the ownership for product j (i = 1, ..,n1 + n2;j = 1, …., k). Formulate the problem to
maximize your total revenue. Clearly define all the decision variables in the beginning of your solution.
[Hint: use one variable to denote the customer (selling product j to customer i ?) and another variable to
denote the town (selling product j to Town 1?)]
Transcribed Image Text:Problem 2. You plan to sell k products to totally n1 + n2 customers in which customers 1,...,n1 are from Town 1 and customers n1 + 1, …,n1 + n2 are from Town 2. In addition, as the products are very '... expensive, two customers will co-buy one produce, each getting 50% of the ownership. Due to transportation reason, for each product, you have to sell it to two customers from the same town. It is also assumed that each customer can buy at most three products (each with 50% of the ownership) and that each product must be sold to exactly two customers. Let c;; be the price that customer i offers for his/her 50% of the ownership for product j (i = 1, ..,n1 + n2;j = 1, …., k). Formulate the problem to maximize your total revenue. Clearly define all the decision variables in the beginning of your solution. [Hint: use one variable to denote the customer (selling product j to customer i ?) and another variable to denote the town (selling product j to Town 1?)]
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