SOLUTION: A firm has introduced a stock option incentive program. for a total of 301,375 options, each of the three executives receives twice as many options as each senior manager, each sen

Question 943604: A firm has introduced a stock option incentive program. for a total of 301,375 options, each of the three executives receives twice as many options as each senior manager, each senior manager receives twice the option as each middle manager, and each middle manager receives 1.5 times the options as each regular employee. if there are 25 senior managers, 75 middle managers, and 1000 regular employees, how many options will each executive receive?

Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
x = options per executive
y = options per senior mgr
z = options per middle mgr
u = options per employee
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3x + 25y + 75z + 1000u = 301375
x = 2y
y = 2z
z = 1.5u
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put the system of linear equations into standard form
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3x + 25y + 75z + 1000u = 301375
x - 2y = 0
y - 2z = 0
z - 1.5u = 0
---
copy and paste the above standard form linear equations in to this solver:
http://sooeet.com/math/system-of-linear-equations-solver.php
---
solution:
x = 1500
y = 750
z = 375
u = 250
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