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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...

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Unformatted text preview: MA 160 Section 2.6 Worksheet Marginals and Differentials Name 67“ «53%;.ng from 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'fi'fafigm . 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+2c§f5 ;)-+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- 1) — C(50) 6. Calculate C (50) the marginal cost when 50 items are produced daily. (1 C50): efil‘bégfls} 1",: $i5¢5fl “bark? YFind C '(x) , the marginal cost fimction. C" ’06.) r: s eigx'fi )4 +359 =C(5i) C(50) = 10%? we» let's: $15174; f. Use C(x + 1) e C (x) + C '(x) and your answers from parts a and e to approximate C(51) . “593:5: agesm-xccs-owc’tscl CUM”) on i075: PM; 5.9.: Week; 5— . Macaw. fire; a? ., ~94. v "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 ewe went at $3 ; in. MK @6210 W39, (3. Find the revenue function R(x). Recall that 120:): x-p:x(esm J;§:é§x_%ilfi b. How many units will consumers want to buy if the price is set at $49? I? : 4; 5;” ,0 f; d. What is the revenue when 960 items are sold? Effie): Ciao (gg'afiQ) ‘3 ‘few iég'wsa) : 6.9050535»): $57) you e. Find the marginal revenue function. R’éx): egg”: %X‘lz : g. Use your answers from partsdand f to '- R(?al)fif fié‘?ao)+fi {‘faa) l 3! SQCJ-r—“Q‘g 1:, 33]) 3&0 f. What is the marginal revenue when 900 items are sold. R ’{Qegza}: £25“ 5* ea; 1.” £2 «:3 “géfiagfiwmw mfl 7 ...
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