Use graphical methods to solve the linear programming problem.Maximize z = 6x + 7y subject to: 2x + 3y ? 12 2x + y ? 8 x ? 0 y ? 0
A. Maximum of 52 when x = 4 and y = 4
B. Maximum of 32 when x = 3 and y = 2
C. Maximum of 24 when x = 4 and y = 0
D. Maximum of 32 when x = 2 and y = 3
Answer: B
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Solve the system by the elimination method. 5x + 8y = 20-3x - 6y = -12
A. {(4, 0)} B. {(4, 1)} C. {(3, 1)} D. ?
Find the sum.
A. 30 B. 14 C. 32 D. 18
Solve the problem.A local bank advertises that it pays interest on savings accounts at the rate of 3% compounded monthly. Find the effective rate. Round answer to two decimal places.
A. 36% B. 3.40% C. 3.04% D. 3.44%
x? = x(0.02 ? 0.0004x ? 0.0012y) , y? = y (0.04 ? 0.0024x ? 0.0008y)
Let x and y represent the populations (in thousands) of two species that share a habitat. For each system of equations, find and assess the stability of the equilibrium points. Remember that, for real populations, both x0 and y0 must be nonnegative for ( x0, y0) to be an equilibrium point.