FOR THE FOLLOWING EXERCISES, SET UP AND EVALUATE EACH OPTIMIZATION PROBLEM. SHOW SOLUTIONS IN A PAPER OR ANY.  1. Suppose the dimensions of the cardboard in Example 2 are 20 in. by 30 in. Let x be the side length of each square and write the volume of the open-top box as a function of x. Determine the domain of consideration for x.  2. A car rental company charges its customers p dollars per day, where 60 ≤ p ≤ 150. It has found that the number of cars rented per day can be modeled by the linear function n(p) = 750 - 5p. How much should the company charge each customer to maximize revenue?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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FOR THE FOLLOWING EXERCISES, SET UP AND EVALUATE EACH OPTIMIZATION PROBLEM. SHOW SOLUTIONS IN A PAPER OR ANY. 

1. Suppose the dimensions of the cardboard in Example 2 are 20 in. by 30 in. Let x be the side length of each square and write the volume of the open-top box as a function of x. Determine the domain of consideration for x. 

2. A car rental company charges its customers p dollars per day, where 60 ≤ p ≤ 150. It has found that the number of cars rented per day can be modeled by the linear function n(p) = 750 - 5p. How much should the company charge each customer to maximize revenue? 

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