Science:Math Exam Resources/Courses/MATH105/April 2012/Question 06 (b)

MATH105 April 2012
Other MATH105 Exams

Question 06 (b)

According to market research, the demand curve for a local pizza restaurant satisﬁes the following relation: if p is the price of a pizza (in dollars), and q is the number of pizzas sold per day, then

${\displaystyle \displaystyle p^{2}+4q^{2}=800.}$

The restaurant owners want to determine what price the restaurant should charge for each pizza in order to make their daily revenue as high as possible.

(b) Use the method of Lagrange multipliers to solve the problem in part (a). There is no need to justify that the solution you obtained is the absolute maximum or minimum.

A solution that does not use the method of Lagrange multipliers will receive no credit, even if the answer is correct.

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