In Problems 9 and 10, (A) Form the dual problem. (B) Write the initial system for the dual problem. (C) Write the initial simplex tableau for the dual problem and label the columns of the tableau. Minimize C = 12 x 1 + 5 x 2 subject to 2 x 1 + x 2 ≥ 7 3 x 1 + x 2 ≥ 9 x 1 , x 2 ≥ 0
In Problems 9 and 10, (A) Form the dual problem. (B) Write the initial system for the dual problem. (C) Write the initial simplex tableau for the dual problem and label the columns of the tableau. Minimize C = 12 x 1 + 5 x 2 subject to 2 x 1 + x 2 ≥ 7 3 x 1 + x 2 ≥ 9 x 1 , x 2 ≥ 0
Solution Summary: The author explains how to determine the dual of the minimization problem by using the coefficients in the problem constraints and the objective function.
A tank contains 60 kg of salt and 2000 L of water. Pure water enters a tank at the rate 8 L/min. The
solution is mixed and drains from the tank at the rate 11 L/min.
Let y be the number of kg of salt in the tank after t minutes.
The differential equation for this situation would be:
dy
dt
y(0) =
Simplify the below expression.
3 - (-7)
Solve the initial value problem:
y= 0.05y + 5
y(0) = 100
y(t) =
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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