Question
(25 Points) Jordan, the director of a local library, has found that when x% of the library's resources are in use, the total operating expense
(25 Points) Jordan, the director of a local library, has found that when x% of the library's resources are in use, the total operating expense is C(x) hundred dollars, where: C( x) = 8x 2 - 636x - 320 x 2 - 68x - 960 The library aims to maximize resource utilization while maintaining efficient operations, targeting approximately 80% usage of its resources. a. What cost should Jordan expect when the library is operating at this ideal capacity? b. Find the critical points of C(x). Determine these points and discuss their significance in the context of managing the library's resources and operating expenses.
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