1. Dr. Poage has decided to produce and sell rings that say "-1 O MATH!" The price-demand equation and cost function to produce these rings are given respectively by: +200 C(x) = 72000+ 60x, where x is the number of rings that can be sold at a price of Sp per p=-- 30 ring and C(x) is the total cost (in dollars) of producing x rings. (a) Determine the break-even point(s). uoubong sgo bna Lori aum brw amroHO (bnew an ot bruc) nond o (b) What is the maximum Revenue? (c) How many rings are needed to maximize the Revenue? itong asi d) What should the rings be priced at to maximize the Revenue? of e boing od abrer odr bluone paw e) Find the Profit function and simplify. T0OS s ey noises snslio0-nevitl to noialugoq orti aloborm 002.001 alunl odr 9000.02 focoi noltalugoq orli bfbow 1oy mdw gnid (S00S 1say adti 0 ) How many rings are needed to maximize the Profit? g) What is the maximum profit?

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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Show ALL work and BOX YOUR FINAL ANSWERS!
1. Dr. Poage has decided to produce and sell rings that say "-1 ♡ MATH!" The price-demand equation and
cost function to produce these rings are given respectively by:
+200
C(x) = 72000+ 60x, where x is the number of rings that can be sold at a price of $p per
p=-
30
ring and C(x) is the total cost (in dollars) of producing x rings.
oun izn sb edw h
(a) Determine the break-even point(s).
sa3 couborg sgros bne bort aum zbruw em OH
(bnewinon of bruc) -ond ar
(b) What is the maximum Revenue?
(c) How many rings are needed to maximize the Revenue?
togesimixam of booirg od abrser od bluoie edW o
(d) What should the rings be priced at to maximize the Revenue?
(e) Find the Profit function and simplify.
ggelio-nevifl to toilugoq erti zloborm 008.001 sluml odr.E
(f) How many rings are needed to maximize the Profit?
(g) What is the maximum profit?
(h) What should the rings be priced at
maximize the profit?
Transcribed Image Text:Show ALL work and BOX YOUR FINAL ANSWERS! 1. Dr. Poage has decided to produce and sell rings that say "-1 ♡ MATH!" The price-demand equation and cost function to produce these rings are given respectively by: +200 C(x) = 72000+ 60x, where x is the number of rings that can be sold at a price of $p per p=- 30 ring and C(x) is the total cost (in dollars) of producing x rings. oun izn sb edw h (a) Determine the break-even point(s). sa3 couborg sgros bne bort aum zbruw em OH (bnewinon of bruc) -ond ar (b) What is the maximum Revenue? (c) How many rings are needed to maximize the Revenue? togesimixam of booirg od abrser od bluoie edW o (d) What should the rings be priced at to maximize the Revenue? (e) Find the Profit function and simplify. ggelio-nevifl to toilugoq erti zloborm 008.001 sluml odr.E (f) How many rings are needed to maximize the Profit? (g) What is the maximum profit? (h) What should the rings be priced at maximize the profit?
Expert Solution
Step 1

Price demand equation is

p=-x30+200                        (1)

and cost function is

C(x)=72000+60x                    (2)

So Revenue function is

R(x)=p.xR(x)=-x30+200xR(x)=-x230+200x                  (3)

Here x is the number of rings.

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