Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint...

Find the dimensions (in inches) of the rectangular package of maximum volume subject to the constraint that the sum of the length and the girth cannot exceed 192 inches (see figure). (Hint: Maximize V = xyz subject to the constraint x + 2y + 2z = 192.)

Expert Solution

milcah answered 2 years ago

Determine the dimensions of a rectangular solid (with a square base) of maximum volume if its...

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In Exercises 3–6, find (a) the maximum value of Q(x) subject to the constraint xTx =...

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find the absolute minimum and absolutely maximum value of function f(x,y)= e^xy subject to the constraint x^2+y^2= 18

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What are the dimensions for the cheapest possible rectangular box with a volume of 72 cm3 if the material for the bottom costs $16/cm2, material for the sides costs $2/cm2, and material for the top costs $20/cm2 ?

2. Calculate the volume and dimensions of a rectangular sedimentation tank for a flow rate of...

2. Calculate the volume and dimensions of a rectangular sedimentation tank for a flow rate of 10,000 gpm based on a maximum overflow rate of 650 gallons per day/sq ft. Also, determine the length of the effluent weir and calculate the horizontal flow velocity in the tank.

A closed rectangular box of volume 324 cubic inches is to be made with a square...

A closed rectangular box of volume 324 cubic inches is to be made with a square base. If the material for the bottom costs twice per square inch as much as the material for the sides and top, find the dimensions of the box that minimize the cost of materials.

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