Functions defined on intervals
Overtime
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Many employers pay employees who
work beyond the regular hours a higher
wage for the overtime.
In the USA, for example, the Federal Fair Labor Standards Act
requires every hour worked beyond 40 hours a week to be
compensated by a 50% increase at least.
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While negotiating a new labor agreement in a factory,
the workers' union received two proposals for a new wage structure from
management.
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regular work hours
per week |
hourly wage for regular
hours |
hourly wage for
overtime |
| Prposal A |
45 hours |
$4 |
$8 |
| Proposal B |
25 hours |
$3 |
$6 |
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At the union meeting, a controversy arose
about which was the better proposal. Some participants
claimed that Proposal A was obviously better because
the wage it offered was better both for regular hours and for
overtime. Others pointed out the fact that according to Proposal
B overtime started much earlier, which was an advantage.
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Use the Functions on Intervals tool
to present the dependence of the weekly wage on the number
of hours worked according to each proposal.
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Compare the two proposals and write recommendations for the workers' union.
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The workers' union wants to make a counter-offer to management.
Prepare a proposal that is better than
management's yet it would not cost
much more -- so that management would not reject it out of hand.
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