A beekeeper’s hives are making Honey at a constant rate. The profit from honey can be represented by the equation

Answer:

Step-by-step explanation:

Hello

A beekeeper’s hives are producing honey at a steady rate. The equation that models the profit from honey is represented as

P(t)= -16t^2 + 2050t +150, where t indicates the time in days and P(t) stands for the profit received by the beekeeper. What is the optimal number of days for harvesting honey to achieve the highest profit?

A: 4212100

B: 2050

C: 150

D: 64

Calculating P(64)= -16(64)^2 + 2050(64) +150 results in -16 * 4096 + 131200 + 150 = 65814

P(150)= -16(150)^2 + 2050(150) +150 gives -16 * 22500 + 307500 + 150 = -52350

P(64)= -16(2050)^2 + 2050(2050) +150 produces -16 * 4202500 + 4202500 + 150 = -63 037 350

The only positive value obtained is after 64 days.