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Math 211 Business Calculus Applications of Derivatives

Math 211 Business Calculus Applications of Derivatives

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– p. 33/34<br />

Marginal Example<br />

Flying Corn Motors has a weekly pr<strong>of</strong>it in dollars <strong>of</strong><br />

P(x) = −0.006x 3 −0.2x 2 +900x−1200<br />

and currently 50 cars are sold per week.<br />

What is the current weekly pr<strong>of</strong>it<br />

Answer:<br />

P(50) = −0.006(50) 3 −0.2(50) 2 +900(50)−1200<br />

= −0.006(125,000)−0.2(2500)+900(50)−1200<br />

= −750−500+45000−1200 = 42,550<br />

What would the pr<strong>of</strong>it be if they sold one more car<br />

Answer:<br />

P(51) = −0.006(51) 3 −0.2(51) 2 +900(51)−1200<br />

= −0.006(132,651)−0.2(2601)+900(51)−1200

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