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**Unformatted text preview: **and minima or inﬂection points. 8. (5 points) Find the positive numbers x and y that satisfy xy = 100 and which minimize 2 x + y . 4 9. (10 points) A ball is thown up in the air at a speed of 96 feet per second from a point 48 feet above the ground. The height in feet s ( t ) of the ball at time t seconds is given by s ( t ) = 32 + 64 t-16 t 2 . (a) When does the ball reach its maximum height? (b) What is the ball’s maximum height? (c) When does the ball hit the ground? (d) How fast is the ball going when it hits the ground? 10. (10 points) When x items are produced, the cost is C ( x ) = 100 x +10 , 000 and the price (demand curve) is p ( x ) = 400-. 01 x . (a) What is the revenue R ( x )? (b) What is the proﬁt P ( x )? (c) Find the production level x that maximizes proﬁt, and the maximum value of proﬁt....

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- Spring '12
- randall
- Calculus