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

P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

A: 4212100

B: 2050

C: 150

D: 64

Question

Nehemiah Cherry

Mathematics

22 December, 00:57

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

P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

A: 4212100

B: 2050

C: 150

D: 64

+4

Answers (1)

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Emily Alvarado · Answer 1

Step-by-step explanation:

Hello

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

P (t) = - 16t^2 + 2050t + 150, where t is the time in days and P (t) is the profit the beekeeper receives. After how many days should she harvest her honey to maximize profit?

A: 4212100

B: 2050

C: 150

D: 64

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

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

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

The only is positif, it's 64 days