5.
If f:[0,3] → [0,3] is defined by
(1+r, 0<x<2
f(x)=
then show that
13-x,2<x<3
f[0,3] [0,3] and find fof.
Answers
Answer:
15. p = 21; x = 0, y = 2.27, z = 5.73 17. p = 4.52; x = 1,
y = 0, z = .67, w = 1.52 19. p = 7.7; x = 1.1, y = 0,
z = 2.2, w = 0, v = 4 21. You should purchase 500 calculus
texts, no history texts and no marketing texts. The maximum profit
is $5000 per semester. 23. The company can make a maximum
profit of $650 by making 100 gallons of PineOrange, 200 gallons
of PineKiwi, and 150 gallons of OrangeKiwi. 25. The depart-
ment should offer no Ancient History, 30 sections of Medieval
History, and 15 sections of Modern History, for a profit of
$1,050,000. There will be 500 students without classes, but all
sections and professors are used. 27. Plant 80 acres of tomatoes
and leave the other 20 acres unplanted. This will give you a profit
of $160,000. 29. It can make a profit of $10,000 by selling
1000 servings of Granola, 500 servings of Nutty Granola and no
Nuttiest Granola. It is left with 2000 oz. almonds. 31. Allocate
5 million gals to process A and 45 million gals to process C. An-
other solution: Allocate 10 million gals to process B and 40 mil-
lion gals to process C. 33. Use 15 servings of RiboForce HP
and none of the others for a maximum of 75g creatine. 35. She
is wrong; you should buy 125 shares of IBM and no others.
37. Allocate $2,250,000 to automobile loans, $500,000 to signa-
ture loans, and $2,250,000 to any combination of furniture loans
and other secured loans. 39. Invest $75,000 in Universal, none
in the rest. Another optimal solution is: Invest $18,750 in Univer-
sal, and $75,000 in EMI. 41. Tucson to Honolulu: 290 boards;
Tucson to Venice Beach: 330 boards; Toronto to Honolulu: 0
boards; Toronto to Venice Beach: 200