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A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $50 per acre. Seed for crop B
A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $50 per acre. Seed for crop B costs $25 per acre. The farmer can spend at most $1000 on seed. If crop B brings in a profit of $90 per acre, and crop A brings in a profit of $240 per acre, how many acres of each crop should the farmer plant to maximize her profit? Let : be the number of crop A and be the number of crop B. The constraints are 1. II. Ill.:+y 30 I. 5-25 1000 Objective Function: Maximum Profit = 4x +90 50+ 10 20 10 1) The graph of the constraints are given, find the vertices. Vertex A Vertex B Vertex Vertex D 2) How many acres of each crop should the farmer plant to maximize her profit? acres of crop A acres of crop B is the best profit. > Next
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