Question: The population P is P(t) = 2.0 106 + 2.0 104t and the weight per person W(t) is W(t) = 80 - 0.5t

The population P is P(t) = 2.0 × 106 + 2.0 × 104t and the weight per person W(t) is W(t) = 80 - 0.5t The total mass of a population is the product of the number of individuals and the mass of each individual. In each case, time is measured in years and mass is measured in kilograms.
a. Find the total mass as a function of time.
b. Compute the derivative.
c. Find the population, the mass of each individual, and the total mass at the time when the derivative is equal to zero.
d. Sketch a graph of the total mass over the next 100 years.
For Information: (Section 1.2, Exercise 63).

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