Question 13Not yetansweredπ(y2;Given the profit function for firm 2; (32; 1) = (60-2y1-3y2)2-30y-y, firm's2's profit-maximizing output level solves=-2Y1-8y2 + 30-891-4y2 + 30ЭлMarked out ofO a.Dys3.00длFlag questionO b.=Dy2дпO c==-4y1-8y2+30ЭпO d.=-2y1-632 + 30ays7

Given:Production function for firm 2:Profit (y1,y2) = (60 - 2y1 - 3y2) y2 - 30y2 - y22 first,…

Answered: Question 13 Not yet answered π(y2;…

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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Near what points can the equation 2x? + xy + y? = 7 not be solved for y as a function of x? %3D O A. (2, -1) and (-2, 1) О В.(2, -1), (-2, 1), and (0, 0) о С.(2, 1), (-2, -1), (2, -1), and (-2, 1) O D. (2, 1) and (-2, -1) O E. (2, 1) and (2, -1)
5
(a) Variables x and y are related by the equation px' +qy = x, where p and q are constants. Y is plotted against X to obtain a straight line graph. (i) ifX=x, state Y in terms of x and/or y. (ii) Explain clearly how p and q can be obtained from the straight line graph drawn.
13) Match the graph with the correct function. (b) S) = -1 2r + 1 (a) S(1) %3D %3D 2r +1 ? + 2r + 2 2r - 1 (e) None of these x' + 2r? + x- 2 2x +1 (c) S(x) = (d) S(x) 14)
2. LOQ Graphically solve each of the following. (a) 3x + y = 6 and x - y = 2 (b) x + 4y = -8 and 3x + 4y = 0 (c) 5x = 3y and y = -5 (d) 2x + 6y = 8 and x = -2 (e) y = 3x2 and y = 3 (f) y = -2x and x = 4 (g) x = -2 and 3x + 4y = 12 (h) y = -2 and 5x + 3y = 15
5. Company A plans to market a new product. The marketing department has determined that the demand for these products is p = - 0.05x + 620,0sx< 30,000, where p denotes the product's unit price (in dollars) and x denotes the quantity demanded. Also, the company estimates that the total cost (in dollars) incurred in manufacturing x products per year of production will be C(x) = 100x +710,000. Find the marginal revenue function and the marginal profit function.
4. If f(x) = ax² + bx + c, and f (x − 1) = f (x) + x + 1, what is the value of (a + b)? (A) (B) (C) (D) 3 (E) Solve yourself: 2 1 - نیا انا لنا ما 3 4 Substitute x=0 into first equation: (A) 11 (B) 19 (C) 29 (D) 39 (E) 41 Solve yourself: f(0) = c Substitute x-1 into first equation: f(1) = a(1)^2 + b(1) + c f(1) =a+b+c { Substitute x=0 into second equation: f(0 + 1) = : 5. If f(x) = x² + 3 and g(x) = 3f(x), what is the greatest possible value of f (x - 1), if g (x) = 84?
5. State the equation of f(x) if D = {x € R|x = }} f(x) a. f(x): = 2x + 1 3x- 2 b. and the y-intercept is (0, x-1 3x - 2 C. f(x) = 2). x + 1 3x + 2 d. f(x) 2x + 1 3x + 2
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