Problem $1.(16$ points$)$ LITTLE$$S LAW: "GreenLeaf Farm is a company that operates a large

greenhouse for cultivating organic tomatoes. The tomatoes go through several stages of growth

before they are ready for harvest. Please answer the following questions regarding GreenLeaf

Farm's operations:

a$)(6$ points$)$ GreenLeaf Farm produces an average of $200$ kilograms of organic tomatoes per day.

The greenhouse operates in a steady state, maintaining a constant production rate. At any given

time, there are quantities of tomatoes in different growth stages within the greenhouse,

representing work in process inventory. The average work in process inventory is estimated to

be $3,000$ kilograms' worth of tomatoes. How long $($in days$)$ does it take for tomato plants to grow

from planting to harvest?

b$)(10$ points$)$ The tomato cultivation process at GreenLeaf Farm involves three key stages:

planting, seedling growth, flowering, and harvest. Out of the $3,000$ kilograms' worth of tomatoes

in the greenhouse, on average, $1,800$ kilograms are in the seedling growth stage, $400$ kilograms

are in the flowering stage, and $600$ kilograms are ready for harvest. How long $($in days$)$ does a

typical tomato plant spend in each of the following stages:

i$.$ Seedling growth?

ii$.$ Flowering?

iii. Ready for harvest?"