10.20.Solutions by hand WS 2.6_Page_1

10.20.Solutions by hand WS 2.6_Page_1 - MA 160 Section 2.6...

Info icon This preview shows page 1. Sign up to view the full content.

Image of page 1
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: MA 160 Section 2.6 Worksheet Marginals and Differentials Name éw (fife? the i. For a certain manufacturer, the daily cost in doilars of producing 3; items is C(x) = eoosx3 — 0.5x2 + 2336 + 300 . Current daily production is 50 items. a. Use C(X) to calculate C(50) , the current daily cost . C (We) : l :0 Eé'o’afigm . 5150);; jgéfi—a') +309.) '3: 50 '75s 1 b. Use C(x) to calculate C(51) , the daily cost if 51 items are produced. C(51); loci/55(5)): 15(5 ij+2gfs ;)-+Seo e 3/090, 74., c. Calcuiate AC for x = 50 and Ax =1 , the change in cost when daily production increases from 50 to 51 items. AC = C(x+Ax) — C(x) = C(SO -t- l) — C(50) 6. Calculate C (50) the marginal cost when 50 items are produced daily. (1'0: 05—» #01"; (50} “4,0 1,923 1",: $i5¢5fl YFind C '(x) , the marginal cost fimction. C" ’06.) r: s eigx'fi )4 +359 =C(5i) C(50) = 10%? we» let's: g15:. “7&2 f. Use C(x + 1) e C (x) + C '(x) and your answers from parts a and e to approximate C(51) . “593:5: C(goerzfi'xCC5‘oi‘erfé5¢§ (3(513ce’io‘75: PM; 5.9.: $lei€f¢> 5— . Meme flat; as ., Jam 6 "ff-ALI fCM’t F. m ¢&W駫 fives (Mme.¢.L image: f) , 2. The demand function Doc) 2 p = 65 —— J; expresses the market price in doilars in order to sell X units of a certain _-reduct. a. In order to be able to sell 900 units, what should the price per item be? fié‘i’eul: £53 my £5 «a 3g: 35’ W 9mm meet nu $3 ; 2% Mid @6212}? W39, (3. Find the revenue function R(x). Recall that Rm: xrai'x(es ngzé§x_%5l£& b. How many units will consumers want to buy if the price is set at $49? P : 62 5;” w J; d. What is the revenue when 900 items are sold? Ré‘iéa‘): Cicada (gg'afiA ‘3 ‘few iég'wsa) : 6.?0‘0535»): $57) you e. Find the marginal revenue function. nit») : new ”if x ”a : g. Use your answers from partsdaud f to '- R(?al)fif fié‘?wo)+fi (9’99) l 3! 56.262wa 1:, 33]) 3&0 f. What is the marginal revenue when 900 items are sold. R ’{90»¢:2.): £25“ 5* ea; 1.” £2 «:3 “géfiagfiwmw mfl 7 ...
View Full Document

  • Fall '10
  • Guyton

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern