Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Labor Input (workers per week)(lawns mowed per Price ($/lawn) Total Output week)

ID: 1115860 • Letter: L

Question

Labor Input (workers per week)(lawns mowed per Price ($/lawn) Total Output week) 0 20 39 57 74 90 105 50 50 50 50 50 50 50 4 5 Question 3: Suppose that Larry's Lawncare has the production function above for mowing ½-acre lawns. If Larry wants to maximize his profit, what is the maximum amount that he should pay the 3rd worker per week? 1) S28.50 C 2) $57 C 3) $1950 C 4) $900 Question 4: Suppose that Larry's Lawncare has the production function above for mowing ½-acre lawns. What is the value ofthe margina/product of the 2nd Worker? C 1 $950 per week C 2) 39 lawns per week C 3) 19 lawns per week C 4) $2950 per week Question 5: Suppose that Larry's Lawncare has the production function above for mowing ½-acre lawns. What is the margina/product of the 6th worker? C 1) S15 per week C 2) 15 lawns per week C 3) $5250 per week C 4) 90 lawns per week

Explanation / Answer

(Question 3) Option (4)

Labor demand is optimal when

Marginal product of labor (MPL) x Output price (P) = Wage rate (W)

MPL = Change in Output (Q) / Change in labor (L)

When L = 3, MPL = (57 - 39) / (3 - 2) = 18 / 1 = 18

Maximum wage (W) = 18 x $50 = $900

(Question 4) Option (1)

When L = 2, MPL = (39 - 20) / (2 - 1) = 19 / 1 = 19

Value of marginal product = 19 x $50 = $950

(Question 5) Option (1)

When L = 6, MPL = (105 - 90) / (6 - 5) = 15 / 1 = 15