Huey can wash 2 cars or mow 2 lawns in one hour. Dewey can wash 2 cars or mow 4 lawns in one hour. Louie can wash 4 cars or mow 2 lawns in one hour.Suppose they each work 8 hours in one day.  Identify the total amount of each good produced by all three people assuming they each work the given combinations of hours.  Enter whole numbers.ScenarioCars WashedLawns MowedEach person works 8 hours washing cars and 0 hours mowing lawns  Each person works 0 hours washing cars and 8 hours mowing lawns  1 worker mows lawns (the best one) and the other 2 wash cars  2 workers mow lawns (the best two) and the other worker washes cars

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Asked Sep 12, 2019
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Huey can wash 2 cars or mow 2 lawns in one hour. Dewey can wash 2 cars or mow 4 lawns in one hour. Louie can wash 4 cars or mow 2 lawns in one hour.

Suppose they each work 8 hours in one day.  Identify the total amount of each good produced by all three people assuming they each work the given combinations of hours.  Enter whole numbers.

Scenario Cars Washed Lawns Mowed
Each person works 8 hours washing cars and 0 hours mowing lawns    
Each person works 0 hours washing cars and 8 hours mowing lawns    
1 worker mows lawns (the best one) and the other 2 wash cars    
2 workers mow lawns (the best two) and the other worker washes cars    
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Expert Answer

Step 1

Work done by each of them per hour is tabulated below.

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Car wash Lawn-mowing Huey 2 2 Dewey 2 4 Louie 4 2 Total work/hour (by all 3) O0

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Step 2

Dewey will mow lawns as he has the lowest opportunity cost in mowing lawns. Huey is the second best in lawn mowing as his opportunity cost is lower than that of Louie.

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OC of lawn mowing Car wash Lawn-mowing OC of car wash 2/2 1 2/2 1 Huey 2 2 4/2=2 2/4 0.5 Dewey 2 4 2/4=0.5 4/2 2 Louie 4 2 Total work/hour (by all 3) OC

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Step 3

Each person puts in 8 hours in one day in different combinations. To...

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Cars Washed Scenario Lawns Mowed Each person works 8 hours washing cars and 0 hours mowing lawns 2*8 +2*8+ 4*8 0 64 2*8 4*8 +2*8= Each person works 0 hours washing cars and 8 hours mowing lawns 0 64 1 worker mows lawns (the best one) and the 2*8 4*8 48 4*8-32 other 2 wash cars 2 workers mow lawns (the best two) and the other worker washes cars 4*8 32 2*8 2*8 32

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