In Problems 5-8, find the pivot element, identify the entering and exiting variables, and perform one pivot operation. x 1 x 2 s 1 s 2 s 3 P 2 1 1 0 0 0 4 3 0 1 1 0 0 8 0 0 2 0 1 0 2 − 4 0 − 3 0 0 1 5
In Problems 5-8, find the pivot element, identify the entering and exiting variables, and perform one pivot operation. x 1 x 2 s 1 s 2 s 3 P 2 1 1 0 0 0 4 3 0 1 1 0 0 8 0 0 2 0 1 0 2 − 4 0 − 3 0 0 1 5
Solution Summary: The author calculates the pivot element, identify the entering and exiting variables, and execute one pivot operation, if the simplex tableaux are, lx_
Rewrite the following optimization problem in standard form:
maximize 5x + 7y
s.t.
2x + 4y ≤ 11
6x - 2y = 8
x, y ≥ 0
Next, write the problem using matrix notation and specify the c, b, A matrices.
A man has $380,000 invested in three rental properties. One property earns 7,5% per year on the investment, the second earns 7%, and the third earns 9%. The total
annual earnings from the three properties is $30,750, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y
equal the investment at 7%, and z represent the investment at 9%.
Complete parts (a) through (d) below.
x+y+z=380000
(Type an equation. Do not include the $ symbol in your answer.)
b. Write an equation that states that the sum of the returns from all three investments is $30,750.
0.075x+0.07y +0.09z = 30,750
(Type an equation. Do not include the $ symbol in your answer.)
c. Write an equation that states that the amount invested at 9% equals the sum 'of the other two investments.
>
z =x+y
(Type an equation. Do not include the $ symbol in your answer.)
d. Solve the system of equations to find how much is invested in each property.
O A. There is one solution. The…
Suppose that a magnet high school includes grades 11 and 12, with half of the students in each grade. Half of the senior class and 30% of the junior class are taking calculus. Create a hypothetical
table of 500 students for this situation. Use grade (junior, senior) as the row variable.
Grade Calculus
No calculus Total
Junior
Senior
Total
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