A firm has two plants, A and B, located at two different places. Both plants produce products to satisfy demands at three markets, 1, 2, and 3. Refer to Figure 1 for the supply chain network. The demands at the three markets 1, 2, and 3 are 210, 190, and 230. The retail prices of each unit of product at markets 1, 2, and 3 are $8, $9, and $10. The production capacity at plants A and B are 300 and 320. The cost of producing and shipping one unit of product from the plant to the market are given in Table 2. The firm aims to find out the best production and transportation plan to maximize the net profit.

Table 2

	1	2	3
A	$2	$3	$2.5
B	$2.5	$1.8	$2

Q1. Set up a conceptual model to represent the problem.