Unformatted text preview: given by C ( x ) = √ x 2 + x + 8 and d ( x ) = √ 22 + 6 x x where x is in thousands, d is in dollars, and C is in thousands of dollars. Write a formula for the proﬁt function P ( x ) . What production level x = Q will result in breaking even? Calculate the marginal proﬁt function, and evaluate it when the production level is x = Q ( Q thousand units). Interpret the result. Use the derivative and a calculator to approximate the marginal proﬁt at production level x = 1 and when x = 3 . Should the company increase or decrease production at each level?...
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- Spring '08
- Calculus, 1 Hour, 4 hours, production level