1. We R' Write is really worried about their production line for pens. The company is concerned that they are employing more workers on the production line than necessary. We R' Write has provided the production information for pens in the table below that corresponds to different numbers of workers on the production line.

• Describe where the law of diminishing marginal productivity begins for We R' Write.
• We R' Write currently uses 75 workers on the production line per day. Given the calculations in the table, is this number optimal?
• If any suggestions could be made regarding the optimal number of workers We R' Write should use on the production line, what would it be?

Table 1. Utility Associated With Consuming Pencils Quantity of Total Marginal Individual Marginal Utility Pencils Consumed Utility Utility Pencil per Dollar for Price Pencils 0 0 10 50 5 $0.25 $1.25 20 93 4.3 $0.25 $1.08 30 127 3.4 $0.25 $0.85 40 151 2.4 50.25 $0.60 50 165 1.4 $0.25 $0.35 60 173 0.8 50.25 $0.20 70 180 0.7 $0.25 50.18Table 2. Utility Associated With Consuming Pens Quantity of Individual Marginal Utility Pens Total Marginal Pen per Dollar for Consumed Utility Utility Price Pens 0 0 --- 2 3.00 1.500 $3.50 $5.25 4 3.45 0.225 $3.50 $0.79 6 3.89 0.220 $3.50 30.77 4.31 0.210 $3.50 $0.73 10 4.65 0.170 $3.50 $0.60 12 4.94 0.145 $3.50 $0.51 14 5.15 0.105 $3.50 $0.37Number of Pens Total Average Marginal Price of Workers per Produced per Average | Marginal Value Value Value Worker per Day Day Product Product Price per Pen Product Product Product Day 0 0 $3.50 50.00 $560 15 1,000 66.67 67 $3.50 $52.50 $233.33 $233.33 $560 30 2,700 90.00 113 $3.50 $105.00 $315.00 $396.67 $560 45 5.100 113.33 160 $3.50 $157.50 $396.67 $560.00 $560 60 7,900 131.67 187 $3.50 $210.00 $460.83 $653.33 $560 75 12,000 160.00 273 $3.50 $262.50 $560.00 $956.67 $560 90 15,700 174.44 247 $3.50 $315.00 $610.56 $863.33 $560 105 18,100 172.38 160 $3.50 $367.50 $603.33 $560.00 $560 120 20,300 167.17 147 $3.50 $420.00 $592.08 $513.33 $560 135 21,900 162.22 107 $3.50 $472.50 $567.78 $373.33 $560 150 22,300 148.67 27 $3.50 $525.00 $520.33 593.33 $560 165 22,300 135.15 0 $3.50 $577.50 $473.03 $0.00 $560 180 21,500 119.44 -53 $3.50 $630.00 $418.06 -$186.67 $560