Find the maximum value of the objective function 7у — 4х subject to the constraints 2х — 7у 2 -31, 8x + 3y > -31, Зх — 8y < 34, 7x + 4y < 34 Also, find the minimum value of the objective function 8х + 5y subject to the same constraints. Which one of the following statements best describes the corner points: A. There are no corner points, because there are no points that satisfy all of the inequalities. B. There are no corner points, because the shaded points constitute a single half-plane. C. There is exactly one corner point. D. There are exactly two corner points. E. There are exactly three corner points. F. There are exactly four corner points. G. There are exactly five corner points. H. There are more than five corner points. Statement:

Please do A and B

Part1)An airplane carries water and medical kits to survivors of a natural disaster. The plane can carry a maximum payload of 80,000 pounds. Each container of water weighs 20 pounds, and each medical kit weighs 10 pounds.The cargo space holds a maximum of 6000 cubic feet of cargo. Graph these constraints on the grid provided, and write some units on the axes. Assume each container has a volume of 1 cubic foot. Part2)If each container of water serves 10 people and each medical kit aids 6 people, find the number of water containers and medical kits that could help the most people

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