For the given cost function C(z) 28900 +200r + z' find: %3D a) The cost at the production level 1750 b) The average cost at the production level 1750 C) The marginal cost at the production level 1750 d) The production level that will minimize the average cost e) The minimal average cost,
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- The box with dimensions indicated is to be constructed of materials that cost 1 cent per square inch for the lateral surface and 2 cents per square inch for the bases. What is the total cost of constructing the box?How are the absolute maximum and minimum similar to and different from the local extrema?An oil refinery is located 1 km north of a straight river that is2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying pipe is $400.00/km over land to a point P on the north bank and $800.00/km under the river to the tanks. To minimize the cost ofthe pipeline, where should P be located?
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- An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 5 km east of the refinery. The cost of laying pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round your answer to two decimal places.) kmA worker is to construct an open rectangular box with a square base and a volume of 147 ft3. If material for the bottom costs $6/ft2 and material for the sides costs $7/ft2 what dimensions will result in the least expensive box? What is the minimum cost? Let x be the length of one side of the base of the box. Express the total cost of the materials, C, in terms of x.An oil refinery is located 1 km north of the north bank of a straight river that is 2 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 6 km east of the refinery. The cost of laying pipe is $400,000/km over land to a point P on the north bank and $800,000/km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located? (Round your answer to two decimal places.)
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