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Marta_Voda [28]
3 years ago
10

Company earns S dollars by selling y items per week. According to the equation S(y)=−2y^2+60y+10, how many items does company ne

ed to sell to maximize earnings.
Mathematics
1 answer:
sp2606 [1]3 years ago
7 0

Answer:

Max = 15

Step-by-step explanation:

Given

s(y) = -2y^2 + 60y + 10

Required

Determine number of items that gives maximum earnings;

The general form of a quadratic equation is:

s(y) = ay^2 + by + c

And the maximum is calculated as:

Max = \frac{-b}{2a} If a<0

Comparing s(y) = ay^2 + by + c to s(y) = -2y^2 + 60y + 10

We have that:

a = -2     b = 60   c = 10

Substitute these values to

Max = \frac{-b}{2a}

Max = \frac{-60}{2 * -2}

Max = \frac{-60}{-4}

Max = 15

<em>The number of item that maximizes the function is when y = 15</em>

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