Question

In: Economics

Jilai earns $12 per hour for up to 40 hours of work each week. He is...

Jilai earns $12 per hour for up to 40 hours of work each week. He is paid $18 for every hour in excess of 40. Jilai faces a 20 percent tax rate on his labor earnings. Regardless of how much he works, he also receives $200 in tax-free dividends from prior investments each week. There are 110 non-sleeping hours in the week. graph jilai.

Solutions

Expert Solution

We have the relevant calculations in the table below for the required graph.

Available (non-sleeping) hours not used for work Hours worked (110 - hours not used for work) Wage Rate Total Wages Tax @20% Wages after taxes Dividend income Total Income
110 0 12 0 $12 * hours worked              -                -          200.0        200.0
100 10 12 120          24.0          96.0        200.0        296.0
90 20 12 240          48.0        192.0        200.0        392.0
80 30 12 360          72.0        288.0        200.0        488.0
70 40 12 480          96.0        384.0        200.0        584.0
69 41 18 498 $480 + $18 on hours worked in excess of 40          99.6        398.4        200.0        598.4
59 51 18 678        135.6        542.4        200.0        742.4
49 61 18 858        171.6        686.4        200.0        886.4
39 71 18 1038        207.6        830.4        200.0    1,030.4
29 81 18 1218        243.6        974.4        200.0    1,174.4
19 91 18 1398        279.6    1,118.4        200.0    1,318.4
0 110 18 1740        348.0    1,392.0        200.0    1,592.0

Pls see the graph below. Income (or consumption) is on vertical axis and leisure hours on horizontal axis.


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