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How Many Workers Should I Hire
How Many Workers Should I Hire? Here’s how to hire the profit-maximizing quantity of labor in a perfectly competitive labor market.
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(Lots and lots of corn! Consumers like corn!)
What are we producing? CORN! (Lots and lots of corn! Consumers like corn!)
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How are we producing CORN?
Field 1 Field 2 FIXED Seed Drill 1 Seed Drill 2 CORN CORN CORN CORN Team 1 Farmworkers Team 2 Farmworkers Variable LOAN Work Period = 30 seconds
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EQ: How many farmworkers should we hire to maximize profits?
What do we want to know? EQ: How many farmworkers should we hire to maximize profits? Wage = $5 per farmworker Price = $8 per bushel of corn The number of workers up to the point where MRP=MFC! Total Factor Cost = Wage per Worker X Number of farmworkers. The number of times CORN is written in 30 seconds. The additional amount of CORN produced by each additional farmworker. Total Revenue Product = Price per Bushel X Number of Bushels of CORN. Marginal Revenue Product = Price per Bushel X MPP. Marginal Factor Cost = Wage per Worker X number of additional farmworkers hired each round.
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What do we need? Ready? Let’s go! Team One Team Two Worker Recorder
Mathematician Team Two
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Time for Math! Sample Calculation…
Wage = $5 per farmworker Price = $8 per bushel of corn 10 10 $80 $5 $80 $5 Time for round 2! Each team picks an additional farmworker.
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Time for Math! Sample Calculation…
Wage = $5 per farmworker Price = $8 per bushel of corn 10 $80 $5 14 4 $112 $10 $32 $5 Time for round 3! Each team picks an additional farmworker.
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Time for Math! Sample Calculation…
Wage = $5 per farmworker Price = $8 per bushel of corn 10 $80 $5 14 4 $112 $10 $32 $5 15 1 $120 $15 $8 $5 Time for round 4! Each team picks an additional farmworker.
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Time for Math! Sample Calculation…
Wage = $5 per farmworker Price = $8 per bushel of corn 15 1 $120 $15 $8 $5 10 $80 $5 10 $80 $5 14 4 $112 $10 $32 $5 14 4 $112 $10 $32 $5 > < 15 $120 $20 $0 $5 Do we need to run round 5?
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Determining Returns to Scale
Round 2 Round 1 Field 1 Field 2 Seed Drill 1 Seed Drill 2 CORN CORN CORN CORN Team 1 Farmworkers Team 2 Farmworkers LOAN Labor and capital increased by 100% in round 2. Did output increase by 100%, more than 100%, or less than 100%? Work Period = 30 seconds
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ATC = (Wage X # of workers) + (Rent X # of drills)
Returns to Scale Essential Question Two: Are the returns to scale for a firm increasing, decreasing, or constant when doubling the quantity of labor and capital used in production? Wage = $5 per farmworker Rent per seed drill = $10 15 34 It is increasing; output more than doubles when labor and capital are doubled and average total cost falls from $1.00 per bushel to $0.88. ATC = (Wage X # of workers) + (Rent X # of drills) # of units of output
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National Standards in Economics
Students will understand that: - Effective decision making requires comparing the additional costs of alternatives with the additional benefits. Many choices involve doing a little more or a little less of something. Few choices are “all or nothing” decisions. Benchmarks: Grade 8 At the completion of Grade 8, students will know the Grade 4 benchmarks for this standard and also that: - to determine the best level of consumption of a product, people must compare the additional benefits with the additional costs of consuming a little more or a little less. - marginal benefit is the change in total benefit resulting from an action. Marginal cost is the change in total cost resulting from an action. - as long as the marginal benefit of an activity exceeds the marginal cost, people are better off doing more of it; if the marginal cost exceeds the marginal benefit, they are better off doing less of it. Benchmarks: Grade 12 At the completion of Grade 12, students will know the Grade 4 and Grade 8 benchmarks for this standard and also that: - to produce the profit-maximizing level of output and hire the optimal number of workers and other resources, producers must compare the marginal benefits and marginal costs of producing a little more with the marginal benefits and marginal costs of producing a little less.
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