(b) How many rooms are left empty when Hilbert is making his maximum rev- enue?
ID: 3018545 • Letter: #
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(b) How many rooms are left empty when Hilbert is making his maximum rev- enue? making his Pietra'sPublishing Company charges $50 for a Precalculus text book. At this price, the sels 8000 copies When the com- pany raises the price by $1, they sell 100 fewer books (a) Use an equation to determine Petra's Publishing company's maximum possi- ble revenue from sales of this text book 4. When a vendor prices key chains at he sells 210 key chains For each St he raises the price, he sals 10 fewer key chains (b) What prioe should be charged for this text in order for the company to maxi- mize their revenue? s revenue when he for $5? $6? $7? (a) What is (c) How many books are sold at this prioe? a) The sum of two numbers is 34. Find (b) The súm of two numbers is 86. Find (c) The sum of two numbers is 152. Find (d) Do you see a pattern regarding the two sedls the key (b) Use an squation to find the vendor's possibler price per key chain isth maxi their maximum possible product their maximum possible product their maximum possible product numbers that maximize the product? mum revenue attained? 5. When Sylvio's Special Social Club charges its ers $100 dollars in annual dues, he gets $10 he lowers members to join. For every lowers the dues he gets an additional 15 people to oin the club 9. (a) Sixty yards of fencing are used to en- dose a rectangular garden. Find the dimensions that maximize the garden's (a) How much money does Sylvio collect in dues when he charged $100? $90? $80? (b) Use an equation to determine the max- imum amount of money Sylvio can ool- (b) One hundred yards of fencing are used to enclose a rectangular garden. Find the dimensions that maximize the gar- lect in dues (c) What price should he charge to attain this maximum value? How many p den's area ple are in his dlub when he charges this price? 10. Find the domain for each of the functions 6. Hilbert's Standard Hotel has 20 rooms If . Hilbert charges $60 per room per night, all the rooms will be rented. For each $5 in- crease, one less room will be rent ed. (a) f (x)·x- (b) g(x)- 49 43 (c) k(x)124E -p.-m Use an equation to determine the max- imum revenue Hilbert's Standard Hote can make (a) mnExplanation / Answer
5. A= (100-10x)(30+15x)
a Number of members =100, means x=0
A=100*30=$3000.
Number of members=90 means x=1
A=(100-10)(30+15) = 90 *45= $4050
Number of members=80 means x=2
A(100-20)(30+30) =$ 4800
b. A=(100-10x)(30+15x) = 3000+1200x -150x2
c. Maximum collection is at x=-b/2a = -(1200)/(2(-150))= 4
Price=100-10*4= $60
People=30+15*4=90
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