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WebGraphing.com Forum » List all forums » Forum: Calculus Homework Help » Thread: Cost Function: Really need help! |
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Total posts in this thread: 2 |
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abcjordanabc
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The cost C of producing x items is given by C(x)=20000+5(x-60)^2. The revenue R is obtained by selling x items is given by R(x)=15000+130x. The revenue will exceed the cost for all x such that... A) 0<x<46 B) x>46 C) x<100 D) 46<x<100 E)x>100 |
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pskinner
Joined: Apr 2, 2005 Posts: 797 Status: Offline |
Here's a hint: This is an algebra problem. Solve the inequality: R(x)>C(x). When you substitute your formulas for R(x) and C(x), you can bring everything to one side and get a quadratic equation with solutions 46 and 100. Your job is then to take test values on each interval, (-inf,46),(46,100), and (100,inf), and decide when the inequality is true. ---------------------------------------- Principal Skinner |
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Re: Cost Function: Really need help!