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Monica [59]
3 years ago
5

A toy company has determined that the revenue generated by a particular toy is modeled by the following equation:

Mathematics
1 answer:
Artemon [7]3 years ago
8 0
R(x) = 11x - 0.025x^2
Revenue is maximum when dr(x)/dx = 0
dr(x)/dx = 11 - 0.05x = 0
0.05x = 11
x = 11/0.05 = 220
The revenue will be maximum when 220000 toys are produced.

r(220) = 11(220) - 0.025(220)^2 = 2,420 - 1,210 = 1,210
Therefore, maximum revenue = $1210000
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