Asher is a stay at home dad who provides math tutoring for extra cash. At a wage of $30 per hour, he is willing to tutor 5 hours per week. At $45 per hour, he is willing to tutor 6 hours per week. Using the midpoint method, the elasticity of Asher’s labor supply between the wages of $30 and $45 per hour is approximately ( .5, 1, 2.2, .45), which means that Asher’s supply of labor over this wage range is (elastic, unit elastic, inelastic).

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.5 and inelastic

To find the elasticity of Asher's labor supply using the midpoint method, we need to calculate the percentage change in the quantity of hours he is willing to tutor and the percentage change in the wage.

First, let's calculate the percentage change in the quantity of hours Asher is willing to tutor:

Change in quantity = 6 hours - 5 hours = 1 hour
Average quantity = (5 hours + 6 hours) / 2 = 5.5 hours

Percentage change in quantity = (Change in quantity / Average quantity) x 100
= (1 hour / 5.5 hours) x 100
≈ 18.18%

Now, let's calculate the percentage change in the wage:

Change in wage = $45 per hour - $30 per hour = $15 per hour
Average wage = ($30 per hour + $45 per hour) / 2 = $37.50 per hour

Percentage change in wage = (Change in wage / Average wage) x 100
= ($15 per hour / $37.50 per hour) x 100
≈ 40%

Now, we can calculate the elasticity of labor supply using the formula:

Elasticity = (Percentage change in quantity / Percentage change in wage)

Elasticity = (18.18% / 40%)
≈ 0.45

Since the elasticity is approximately 0.45, Asher's supply of labor over this wage range is inelastic.