The Warehouzer Company manages three forests for lumber production and reforestation,

Develop the mathematical model for: 2. The Warehouzer Company manages three forests for lumber production and reforestation, the areas of which are 100,000, 180,000, and 200,000 acres, respectively. The three main wood products fall into three categories: pulpwood, plywood, and roundwood. Several reforestation alternatives are available for each site, each one with its cost, number of years of rotation (that is, number of years from planting to felling), its profits and its amount produced. The following table summarizes this information. Site Rent Roll 0 1 160 117 140 ooo 195 $/acre, annual Alternative Cost A1 1000 A2 800 A3 1500 A4 1200 A5 1300 A6 1200 A7 1500 A1 1000 800 1500 A4 1200 A5 1300 A6 1200 A1 1000 800 A3 1500 A4 1200 A5 1300 2 182 180 135 102 55 95 120 100 M^3/acre, annual Rotation (years) Pulp Plywood 20 12 0 25 10 0 40 5 6 15 4 7 40 3 0 40 2 0 50 3 0 20 9 0 25 8 0 40 2 5 15 3 4 40 2 0 40 2 0 20 7 0 25 6 4 40 2 0 15 2 0 40 1 0 7 6 5 0 0 A2 0 0 5 90 4 3 60 48 60 NONN A2 0 4 Olot 65 3 5 35 To ensure stable production in the future, each acre of reforestation in each alternative needs to be allocated as many acres as there are rotation years. The rent column represents the value per wooded acre (ie land + standing timber). Warehouzer's goals are as follows: 1. Annual productions of pulpwood, plywood and roundwood of 200,000, 150,000 and 350,000 cubic meters, respectively. 2. Annual reforestation budget is $2.5 million. 3. Annual land rental income is $100 per acre. How much land should be allocated to each alternative at each site? Build the mathematical model Develop the mathematical model for: 2. The Warehouzer Company manages three forests for lumber production and reforestation, the areas of which are 100,000, 180,000, and 200,000 acres, respectively. The three main wood products fall into three categories: pulpwood, plywood, and roundwood. Several reforestation alternatives are available for each site, each one with its cost, number of years of rotation (that is, number of years from planting to felling), its profits and its amount produced. The following table summarizes this information. Site Rent Roll 0 1 160 117 140 ooo 195 $/acre, annual Alternative Cost A1 1000 A2 800 A3 1500 A4 1200 A5 1300 A6 1200 A7 1500 A1 1000 800 1500 A4 1200 A5 1300 A6 1200 A1 1000 800 A3 1500 A4 1200 A5 1300 2 182 180 135 102 55 95 120 100 M^3/acre, annual Rotation (years) Pulp Plywood 20 12 0 25 10 0 40 5 6 15 4 7 40 3 0 40 2 0 50 3 0 20 9 0 25 8 0 40 2 5 15 3 4 40 2 0 40 2 0 20 7 0 25 6 4 40 2 0 15 2 0 40 1 0 7 6 5 0 0 A2 0 0 5 90 4 3 60 48 60 NONN A2 0 4 Olot 65 3 5 35 To ensure stable production in the future, each acre of reforestation in each alternative needs to be allocated as many acres as there are rotation years. The rent column represents the value per wooded acre (ie land + standing timber). Warehouzer's goals are as follows: 1. Annual productions of pulpwood, plywood and roundwood of 200,000, 150,000 and 350,000 cubic meters, respectively. 2. Annual reforestation budget is $2.5 million. 3. Annual land rental income is $100 per acre. How much land should be allocated to each alternative at each site? Build the mathematical model