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Production Cost 2. A manufacturer of light fixtures has daily production costs of C=800-8x+.25x w total cost (in dollars) and x is the number of units produced. How many units should each day to yield a minimum cost?

Production Cost 2. A manufacturer of light fixtures has daily production costs of C=800-8x+.25x w total cost (in dollars) and x is the number of units produced. How many units should each day to yield a minimum cost?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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TUP ERIDN-L1/291 Production Cost - A manufacturer of light fixtures has daily production costs of C=800-8x+.25x where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost? Before Graphing: a. Concavity: Up or Down? b. Vertex? Calculate using vertex formula, show work. c. Use Desmos or a TI-8X to graph the function. Include a sketch below (for x > 0), labeling your axes and important features like the vertex, the x-intercept(s) and the y-intercept. om odi bas (e)iqaostei-x br d. How many units should be produced each day to yield a minimum cost? e. What is the least the manufacturer can get away with spending in total production costs in one day? f. Ask a question for which the y-intercept would provide the answer. igind mumia
Transcribed Image Text:TUP ERIDN-L1/291 Production Cost - A manufacturer of light fixtures has daily production costs of C=800-8x+.25x where C is the total cost (in dollars) and x is the number of units produced. How many units should be produced each day to yield a minimum cost? Before Graphing: a. Concavity: Up or Down? b. Vertex? Calculate using vertex formula, show work. c. Use Desmos or a TI-8X to graph the function. Include a sketch below (for x > 0), labeling your axes and important features like the vertex, the x-intercept(s) and the y-intercept. om odi bas (e)iqaostei-x br d. How many units should be produced each day to yield a minimum cost? e. What is the least the manufacturer can get away with spending in total production costs in one day? f. Ask a question for which the y-intercept would provide the answer. igind mumia
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