Solve the minimization problem by using the simplex method to solve the dual problem.Minimize   14x1 + 35x2subject to   x1 + 5x2 ? 6   2x1 + 4x2 ? 7and x1 ? 0, x2 ? 0

A. Minimum =  when x1 =  and x2 = 
B. Minimum = 42 when x1 = 0 and x2 = 
C. Minimum =  when x1 =  and x2 = 
D. Minimum = 84 when x1 = 6 and x2 = 0


Answer: A

Mathematics

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Graph the circle.x2 + y2 = 25

A.

B.

C.

D.

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Provide the proper response.Without graphing, justify why x2 + 4 - 4x - 12y + 60 = 0 is the equation of a parabola.

What will be an ideal response?

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Solve the problem.Boyle's law states that if the temperature of a gas remains constant, then PV = c, where P is the pressure, V is the volume, and c is a constant. Given a quantity of gas at constant temperature, if V is decreasing at a rate of 12 in.3/s, at what rate is P increasing when P = 50 lb/in.2 and V = 80 in.3?

A.  lb/in.2-s
B.  lb/in.2-s
C.  lb/in.2-s
D.  lb/in.2-s

Mathematics