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Questions tagged 'Optimization'

6 questions

Optimization: A farmer wants to fence an area of 1.5 million square feet in a rectangular field?

A farmer plans to enclose a rectangular field with an area of 1.5 million square feet and then divide the field into two equal parts using a fence that runs parallel to one of the rectangle's sides. H...

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Anonymous

Jan 30, 2025

The bayside art gallery is considering installing a video camera security system to reduce its insurance premiums. A diagram of the

The Bayside Art Gallery is considering the installation of a video camera security system to reduce its insurance premiums. A diagram of the eight display rooms used by the gallery is shown in the fig...

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Anonymous

Jan 23, 2025

What value of θ will maximize the trough’s volume?

What value of θ will maximize the volume of the trough? The trough, as depicted in the accompanying figure, is designed with specific dimensions. The only variable that can be adjusted is the angle θ.

A constraint with a positive slack value will have a positive dual price. will have a negative dual price. will have a dual price

A constraint with a positive slack value can have different implications for its dual price. Specifically, it may have a positive dual price, a negative dual price, or a dual price of zero. Additional...

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Anonymous

Nov 07, 2024

A boat leaves a dock at 2:00 PM and travels due south at a speed of….?

A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat departs from the same dock at 3:00 PM, traveling due east at a speed of 15 km/h. At what time were the two boa...

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Anonymous

Oct 21, 2024

Please help. Thanks.?

To maximize output given the production function and constraint below, please help me find the optimal level of labor. The production function is defined as: Max Q = 6K + 20L – 0.025K² – 0.05L², subje...