1)

a dam has 27000000 litres of rain water. water is running out at the rate of 90000 litres per day.
find an equation that describes the amount of water remaining in the dam after t days.

2)
the estimated weight, in kg, of a baby is given as
P = 0.9InT + 1.2, where T is the number of days since the birth.
find the estimated weight of a baby 5 weeks after the birth.

3)
a market gardener plants rock melons and tomatoes. he has 10 hectares available. each hectare of rock melons requires 6 man days of labor and each hectare of tomatoes requires 12 man days. he can afford 72 man days.
the profit on rock melons and tomatoes is $400 and $600 respectively.
define the constraint equations and the objective function.