21worksheet8 - gLUTIOrUS MATH 122, SECTION 021 WORKSHEET 8...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: gLUTIOrUS MATH 122, SECTION 021 WORKSHEET 8 Show all work for full credit. 1. A model for the temperature, T (in °F), of a typical summer day is given by T(t) = —0.60t2 + 7.875 + 72, Where t is time since 8AM. Find the maximumf the day. At What time is the temperature at its maximum? Prove your answer. MOW/W 7W “Owifim +7.2 Max W: Dame T (2): 4.2g + 2.8 714.5”): 13.500 (@952 Mushy 5mm! we 42248561 $172357: 2 “1%! fwd/16123718 ) 77W, g+ [0,5 t, H5, #55 gngw/ 2. Find the quantity q that maximizes if the total revenue, R(q), and the total cost, C(q), are given in;dollars by R01) = 350q-8q2 C(q) = 1200+62q. What is the maximum profit? Prove your answer. mm 7/2):/3502—X¢Z)—/I20o+5922) Max W: 77?): 3382, gZz/aOO 77/13):Z$8//8)‘8(/2§)1—J200 bent/ath 5' 0w K" 6mm; Vol/1+5 288vng :0 383—1102 3 _@ 2 fl <W7T ’1? '/C0 ——n/ J 1 3/ W W“ 2 3. A local gym currently charges $38 / month and has a membership of 520 people. Market research reveals that 24 fewer people would pay for a membership for each $3 increase in dues, 24 more for each $3 decrease. What should the gym charge to maximize monthly How many people would pay for a membership at this price? Prove your answer. H E*~_M_M~_ Cfnhml pom}? ’ 38 520 38(520) 54g,/44X : O 38+3X 520m /38*3X>{5ZO‘24X> -Wx z {Ms M MQXIMIZG )2 = /33*3X>/520 ‘2‘”) x = 4/5 59””th " 2/ ‘ @fléfl/jy) + /5zo JIM/3) Chet/z: Mia? ZEél/X—fl/l/x 2’: ‘9/Z—¥Zx+/5(90'7ZX @655 g) ’me/ 12 : Ma” #fl/X P: 38+ £4.53 t :5ZO'ZL/fl/5) P: 5/‘ 5 11m... : FO I6 4. Your organization has decided to sell T—shirts to raise money. our supp ier charges a fixed fee of $45. In addition, you pay $5.50 in production costs for each shirt. Your price function is J p = 17.5 — 0.10q, where p is the price at which exactly q T~shirts will be sold. What price should you charge to maximize How many T—shirts will you sell? Prove your answer. 6‘ 45+ 5502 E: 0254).:on P 2 my mama) Z: /ZS§«0.JOZZ P: Map/Shirt! WHWM MAX/M516 7: 0252 ’GJOgZ) " (gag/52') 77: Mi *0. )0; 7~ #5 D?flbflfi’ltfli 7]“J :? @1795le PD/fll'fi" /2'0’2% SO [Max/2’02? : e/z Mmmmw’ m ’0“: r... a (go (9 Max / 2 a) T-smaj fl t T ...
View Full Document

This note was uploaded on 02/21/2012 for the course MATH 122 taught by Professor Kustin during the Spring '08 term at South Carolina.

Page1 / 2

21worksheet8 - gLUTIOrUS MATH 122, SECTION 021 WORKSHEET 8...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online