Stefan is an exchange student from Germany who works at a local theme park drawing caricatures of the tourists visiting the park. He provides all of his own materials but pays a booth rental fee. The cost of operating his caricature art business is given by the function C(x) = 0.5(x - 25)2 + 60 dollars, where x is the number of caricatures drawn, and x ≥ 0. a. Choose the vertex of the cost function and interpret using a complete sentence. O (0.5, -25); The cost of operating his caricature art business is decreasing by 25. O (60, 25); To minimize his costs Stefan must draw 60 caricatures. O (0, 60); To minimize his costs Stefan must draw 60 caricatures. O (25, 60); To minimize his costs Stefan must draw 25 caricatures. b. How many caricatures must he draw to minimize his costs? Number c. State the minimum total cost. Number d. Graph the function C(x) = 0.25(x - 10)2 + 30 by hand. (C(x) values are labeled in y-axis and x values are labeled in x-axis)

Stefan is an exchange student from Germany who works at a local theme park drawing caricatures of the tourists visiting the park. He provides all of his own materials but pays a booth rental fee. The cost of operating his caricature art business is given by the function C(x) = 0.5(x - 25)2 + 60 dollars, where x is the number of caricatures drawn, and x ≥ 0. a. Choose the vertex of the cost function and interpret using a complete sentence. O (0.5, -25); The cost of operating his caricature art business is decreasing by 25. O (60, 25); To minimize his costs Stefan must draw 60 caricatures. O (0, 60); To minimize his costs Stefan must draw 60 caricatures. O (25, 60); To minimize his costs Stefan must draw 25 caricatures. b. How many caricatures must he draw to minimize his costs? Number c. State the minimum total cost. Number d. Graph the function C(x) = 0.25(x - 10)2 + 30 by hand. (C(x) values are labeled in y-axis and x values are labeled in x-axis)

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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