A baseball team plays in a stadium that hold 55, 000 spectators. With ticket prices at $10, the average attendance had been 27, 000. A market survey showed that for each $0.10 decrease in the ticket prices, on the average, the attendance will increase by 300. How should ticket prices be set to maximize revenue?

A open topped-box is constructed as follows: A 24 in x 24 in square botton has four identical squares cut off at each corner. The sides are then folded up.What sized corners should be cut out to maximize the volume of the box. Give this maximum possible


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A rectangle has area is 150 sq in. Determine the dimensions that minimize the perimeter , and give the minimum possible perimeter 


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Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium must hold 500 ft³ of water. What dimensions should they use to create an acceptable aquarium with the least amount of glass?

Let x and y be 2 positive numbers such that x+2y= 50 and (x+1)(y+2) is a maximum.

A rancher wants to construct two identical rectangular corrals using 400 ft of fencing. The rancher decides to build them adjacent to each other, so they share fencing on one side. What dimensions should the rancher use to construct each corral so that together, they will enclose the largest possible area? 

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