3.A nursery has 90 ares of land (1 are = 100 m^2) for the cultivation of two types of flowers A and B. Seed A costs 10 e

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3.A nursery has 90 ares of land (1 are = 100 m^2) for the cultivation of two types of flowers A and B. Seed A costs 10 euros per are. Type B costs 5 euros per are. The company would like to spend a maximum of 800 euros on the seed. In order to grow the flowers, the farm needs an average of 3 hours per are for variety A and 6 hours per are for variety B, whereby the farm can spend a maximum of 420 hours.
The profit for variety A is 36 EUR per are and for variety B 45 EUR per are.
How many ares of each variety should the farm grow to maximize overall profit? Formulate the associated linear optimization problem and solve it graphically (use 3.A nursery has 90 ares of land (1 are = 100 m^2) for the cultivation of two types of flowers A and B. Seed A costs 10 euros per are. Type B costs 5 euros per are. The company would like to spend a maximum of 800 euros on the seed. In order to grow the flowers, the farm needs an average of 3 hours per are for variety A and 6 hours per are for variety B, whereby the farm can spend a maximum of 420 hours.
The profit for variety A is 36 EUR per are and for variety B 45 EUR per are.
How many ares of each variety should the farm grow to maximize overall profit? Formulate the associated linear optimization problem and solve it graphically(use linear optimization)