At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute d dollars for every dollar that an employee contributes. The payoff to employee i who makes contribution of x; dollars is bį(1 + d)xi — xį, where bi > 0. - Assume that d = 4, bį = 0.25 for i = 1, 2, ..., 10, and bi = 0.5 for i = 11, 12,.. 20 What is the best contribution level of any employee i for i = 1, 2, ..., 10. Numerical answer

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many
dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute d dollars
for every dollar that an employee contributes.
The payoff to employee i who makes contribution of x; dollars is
Assume that d = 4, bį = 0.25 for i = 1, 2,
=
: 0.5 for i 11, 12,.
, 20
bi
9...9
Numerical answer
bį(1 + d)x; − xi;, where b; > 0.
10, and
... 9
What is the best contribution level of any employee i for i = 1, 2, . . . , 10.
"...,
Transcribed Image Text:At a company, 20 employees are making contributions for a retirement gift. Each of the 20 employees is choosing how many dollars to contribute from the interval [0,20]. The manager of these 20 employees announces that she will contribute d dollars for every dollar that an employee contributes. The payoff to employee i who makes contribution of x; dollars is Assume that d = 4, bį = 0.25 for i = 1, 2, = : 0.5 for i 11, 12,. , 20 bi 9...9 Numerical answer bį(1 + d)x; − xi;, where b; > 0. 10, and ... 9 What is the best contribution level of any employee i for i = 1, 2, . . . , 10. "...,
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