Question:

Classic Oak receives $200 for every table it sells.?

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This production function shows the relationship between number of workers employed and number of tables produced each week:

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Employees---- Tables per week

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0---- 0

1---- 6

2--- 11

3 ----15

4---- 18

5---- 20

11.2. If Classic Oak must pay each worker a market wage of $520 per week, how many workers should the company hire to maximize profit?

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  1. 4 workers.

    Work..Tab..TC.....MC... TR.....MR..Profit

    0......0......0........0....... 0.......0.......0

    1......6.....520...520... 1200..1200...680

    2.....11...1040..520... 2200..1000...1160

    3.....15...1560..520... 3000...800...1440

    4.....18...2080..520... 3600...600...1520

    5.....20...2600..520... 4000...400...1400


  2. The simplest way to approach this if you don't have a formula is to calculate profit for each

    1:  6(200) - 1(520) = 680

    2: 2200 - 1040 = 1160

    3: 3000 - 1560 = 1440

    4: 3600 - 2080 = 1520

    5: 4000 - 2600 = 1300

    Max profit is 1520 at 4 employees

  3. 1-680  2-1160  3-1440  4-1520  5-1400

    That's what I got for the profit(revenue-wage*amount of workers) at the different production levels.  So, 4 maximizes profit.

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