Linear programming proble m

1. (15 pts) Your grandfather recently left you a farm to yourself and it is your job to make it flourish. It's currently summer and you need to plan out how many different crops you need to buy in order to maximize your profit. You can buy 9 different crops from the General Store owned by Jeff with its corresponding seed price and crop price when sold: Table 1. Seed and Crop Prices Crop Seed Price (per bag) Crop Price (per crop) Pumpkin 180 270 Corn 220 726 Tomato 250 819 Red Pepper 280 918 Eggplant 300 990 Green Pepper 400 1320 Table 1. Seed and Crop Prices Crop Seed Price (per bag) Crop Price (per crop) Pumpkin 180 270 Corn 220 726 Tomato 250 819 Red Pepper 280 918 Eggplant 300 990 Green Pepper 400 1320 Beans 200 240 Melon 350 525 Tea Leaf 180 320 Since the seeds are sensitive, once you open the bag of seeds, you need to plant them within the day in order to avoid any spoilage. Each seed bag contains 9 seeds and you will plant all 9 of those seeds to not waste any seeds. Each seed will yield 1 crop and will need 1 acre of land to plant. You only have 1080 acres of land but 10% of the land is not usable due to your axe and hammer not being strong enough to clear out the rocks and branches scattered. The town mayor, Thomas, implemented a policy that you could only produce and sell a maximum of a certain crops in order to regulate the economy and not produce an over-abundance of 1 specific crop: Table 2. Crop Restrictions Crop Crop Restrictions Crop Crop Restrictions Pumpkin 2700 Green Pepper 450 Corn 2250 Beans None Tomato 1080 Melon None Red Pepper 720 Tea Leaf None Eggplant 630 The left-over profits you have to utilize for this season amount to 253,320 gold. Formulate the scenario as a linear program