Question

Eggs are sorted into two sizes (large and extra large) at the Cheerful Chicken Dairy. Unfortunately, business has not been good lately, and since the Cheerful Chicken’s 40-year-old egg-sorting machine finally gave up the ghost there have been no funds available to replace it. Instead, Old Fred, one of the firm’s sharper-eyed employees, has been equipped with a "Large" rubber stamp in his right hand and an "X-large" stamp in his left and assigned to stamp each egg with the appropriate label as it goes by on the conveyor belt. Down the line, another employee puts the eggs into either of two hoppers, each egg according to its stamp. The system works reasonably well, all things considered, except that Old Fred has a heavy hand and on the average breaks 30% of the 120 eggs that pass by him each minute. At the same time, a check of the "X-large" stream reveals a flow rate of 70 eggs/min, of which 25 eggs/min are broken.
1. Draw and label a flowchart for this process.
2. Write and solve balances about the egg sorter on
total eggs and broken eggs.
3. How many "large" eggs leave the plant each minute, and what fraction of them are broken?
4. Is Old Fred right- or left-handed?

Answer 1

Answer:

1) Flowchat Attached

2) See the Explanation

3) Large eggs leaving plant per minute =  $E_L=50(eggs/min)$

   Percetange of broken = 22%

4) Right Handed

Step-by-step explanation:

1) Flowchart

(SEE THE ATTACHMENT)

2) Balance Equations

Egg balance:

$E_{in}=E_X +E_L$

$120(eggs/min)=E_L + 70(eggs/min)\\E_L=120(eggs/min)-70(eggs/min)\\E_L=50(eggs/min)$

Broken Egg Balance:

$(0.3)E_{in}=(x)E_L+ E_X\\0,3\cdot120=x\cdot50+25\\36=50x+25\\50x=36-25\\50x=11\\x=\frac{11}{50}\\x=0.22$

3) Large eggs leaving, % of them broken

Number of large eggs leaving each minute was found by egg balance in Part (2)

$E_L=50(eggs/min)$

Fraction of them broken was found by broken egg balance in Part (2)

x=0.22

Convert it into a percentage

$x=\frac{22}{100}\cdot10 = 22\%$

4) Fred Right or Left Handed?

Percentage of broken eggs in Right hand = 22%

Percentage of broken eggs in Left Hand = $\frac{25}{70}\cdot100=36\%$

As percentage of broken eggs in his Right hand is less than in his Left Hand, He is RIGHT HANDED.