If a worker wants to pack 200 newly harvested mangoes at average size of 3"x2" in delivery boxes .To optimize the cost and profit in packaging , the mangoes must be properly packed in boxes of similar sizes. To systemize counting , there must also be equal number of mangoes in boxes .He must also consider that mango fruits are fragile and must be packed properly to aoid spoilage and damage to the fruits . What he will do ? Show in the ullustration or model the option that will be best achieve the workers goal . Consider also the sizes of delivery boxe/s

Question

If a worker wants to pack 200 newly harvested mangoes at average size of 3"x2" in delivery boxes .To optimize the cost and profit in packaging , the mangoes must be properly packed in boxes of similar sizes. To systemize counting , there must also be equal number of mangoes in boxes .He must also consider that mango fruits are fragile and must be packed properly to aoid spoilage and damage to the fruits . What he will do ? Show in the ullustration or model the option that will be best achieve the workers goal . Consider also the sizes of delivery boxe/s

Answer 1

To properly pack and optimize the cost and profit in packaging the mangoes, the worker needs to consider the following steps:

Step 1: Determine the box size:
The worker needs to consider the sizes of the mangoes and select an appropriate box size. Since the average mango size is given as 3"x2", the worker should choose a box size that can accommodate the mangoes without excess space. This will prevent the mangoes from moving around and getting damaged during transportation. Let's assume the worker selects a box size of 12"x8".

Step 2: Calculate the number of mangoes per box:
To systemize counting and have an equal number of mangoes in each box, the worker needs to calculate the number of mangoes that can fit into one box. Since the mango size is 3"x2" and the box size is 12"x8", the worker can place 4 mangoes in each row (12" divided by 3") and 4 mangoes in each column (8" divided by 2"). Multiplying the number of mangoes per row and column will give the total number of mangoes per box: 4 x 4 = 16 mangoes.

Step 3: Pack the mangoes:
Based on the calculations above, the worker can now pack 16 mangoes in each box of size 12"x8". The worker should place the mangoes in rows and columns in an orderly manner to minimize the chance of damage during transportation.

Illustration/model:
```
Delivery Box Size: 12" x 8"
Mango Size: 3" x 2"

Box 1:
_________________
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|

Box 2:
_________________
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|
| M | M | M | M |
|_____|_____|_____|_____|

... (continue for subsequent boxes)
```

By packing 16 mangoes in each box and ensuring they are properly placed to avoid spoilage and damage, the worker can optimize the packaging process while maintaining the equal number of mangoes in each box.