A manufacturer of lighting fixtures has daily production costs of C (x) = 0.25x² 80x+800 where C is the total cost (in dollars) and x is the number of units produced. Calculate how many fixtures x_should be produced each day to yield a minimum cost? Show at least one intermediate step. Round your answer to the nearest one and include unit of measurement.

A manufacturer of lighting fixtures has daily production costs of C (x) = 0.25x² 80x+800 where C is the total cost (in dollars) and x is the number of units produced. Calculate how many fixtures x_should be produced each day to yield a minimum cost? Show at least one intermediate step. Round your answer to the nearest one and include unit of measurement.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....

See similar textbooks

Similar questions

A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate to three decimal places).
At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later, the odometer read 22,125, Assume the scale on the odometer is in miles. What is the average speed the car traveled during this trip?
The resistance of a copper wire carrying an electrical current is directly proportional to its length and inversely proportional to its cross-sectional area. A copper wire with a diameter of 0.0126inch has a resistance of 64.9ohms per thousand feet. What length of 0.0201-inch-diameter copper wire will produce a resistance of 33.5ohms?
Find the mean hourly cost when the cell phone described above is used for 240 minutes.
Find the intensity of light at a depth of 12 meter if I0=14 and k=0.7. Round to two decimals.
In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air per minute. (a) Determine the ventilation rate per child in a full classroom. (b) Estimate the air space required per child. (c) Determine the minimum number of square feet of floor space required for the room when the ceiling height is 30 feet.
Estimate the age of a newly discovered fossil for which the ratio of carbon-14 to carbon-12 is R=1/1014.
A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a. Compute the area of the piece to be cut. Round the answer to the nearest square millimeter. b. After cutting the piece, determine the percentage of the plate that will be wasted.