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

MATH105 April 2012
Other MATH105 Exams

### Question 06 (a)

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.

(a) Formulate this as a constrained optimization problem, clearly stating the objective function and the constraint.

 Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it!

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