13. The cost C of producing t units is given by: c(t) = 4t2generated from selling t units is given by: r(t)there be a profit?a) t > 0b) t > 7c) t > 5= 5td) t > 6+ t.2+ 6t, and the revenue R isFor what values of t will

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Answered: 13. The cost C of producing t units is…

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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The total revenue curve of a firm is R(q) = 40q – 12q2 and its average cost A(q) =(1/30q2 − 12.85q + 20 + 400/q ,where q is the firms output. i. Derive an expression C(q) for the firms total cost function. ii. Derive an expression Π(q) for the firms profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firms profit is maximized. v. What is the firmss maximum profit?
A company makes solar panels. The company's revenue function, in dollars, is R(n)=10n, where n is the number of panels produced. The cost function is C(n) = 100(2)0 . R and Care shown on the graph below. 1000 800 600 400 200 100 in 20 Number of Panels 0. 40 60 80 a) Estimate from the graph i) the break-even points ii) the number of panels that should be produced for maximum profit b) Write the equation for the profit function P. c) Graph P. d) Use your graph of P to estimate the number of panels that give maximum profit. e) How would your answers for break-even points and maximum profit change if i) the number of dollars of revenue per panel is increased slightly? i) the cost function is changed to C(n) = 100(2)s ? f) What does the number that was ch part e) i) represent? English (United States) OFocus Dollars
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x = (a) Find the distance from the point A(-2, -4, 2) to the line L −3+ 5t, y = −2 − 1t, z = −2 - 3t. 4.503 (b) The closest point to A on L is
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13. The cost C of producing t units is given by: c(t) generated from selling t units is given by: r(t) there be a profit? a) t > 0 b) t > 7 c) t > 5 - d) t > 6 4t 2 + 6t, and the revenue R is 2 = 5t + t. For what values of t will