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: 4212100B: 2050C: 150D: 64
Accepted Solution
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Answer:Step-by-step explanation:HelloA 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: 4212100B: 2050C: 150D: 64P(64)= -16(64)^2 + 2050(64) +150 = -16 * 4096 + 131200 + 150 = 65814P(150)= -16(150)^2 + 2050(150) +150 = -16 * 22500 + 307500 + 150 = -52350P(64)= -16(2050)^2 + 2050(2050) +150 = -16 * 4202500 + 4202500 + 150 = -63 037 350The only is positif, it’s 64 days