1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold 600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue. 2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the dimensions of the lot if its area is a maximum. 3) Two integers differ by 17 and their product is 60. What are the integers? 4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what are the dimensions of the triangle?

1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold 600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue. 2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the dimensions of the lot if its area is a maximum. 3) Two integers differ by 17 and their product is 60. What are the integers? 4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what are the dimensions of the triangle?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Transcribed Image Text:1) A sportswear store sells baseball caps with the local baseball team's logo on them. Last year, the store sold 600 caps at $12 each. The store manager is planning to increase the price. A consumer survey shows that for every $1 increase, there will be a drop of 30 sales a year. Determine the maximum revenue. 2) A rectangular lot is bordered on one side by a stream and on the other three sides by 500 m of fencing. Find the dimensions of the lot if its area is a maximum. 3) Two integers differ by 17 and their product is 60. What are the integers? 4) A triangle has a height of 10cm more than twice the length of the base. If the area of the triangle is 84cm², what are the dimensions of the triangle?

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