At a price of $12 .59 per box of grapefruit, the supply is 595 , 000 boxes and the demand is 650 , 000 boxes. At a price of $13 .19 per box, the supply is 695 , 000 boxes and the demand is 590 , 000 boxes. Assume that the relations -ship between price and supply is linear and that the relationship between price and demand is linear. (A) Find a price–supply equation of the form p = m x + b . (B) Find a price–demand equation of the form p = m x + b . (C) Find the equilibrium point.
At a price of $12 .59 per box of grapefruit, the supply is 595 , 000 boxes and the demand is 650 , 000 boxes. At a price of $13 .19 per box, the supply is 695 , 000 boxes and the demand is 590 , 000 boxes. Assume that the relations -ship between price and supply is linear and that the relationship between price and demand is linear. (A) Find a price–supply equation of the form p = m x + b . (B) Find a price–demand equation of the form p = m x + b . (C) Find the equilibrium point.
At a price of
$12
.59
per box of grapefruit, the supply is
595
,
000
boxes and the demand is
650
,
000
boxes. At a price of
$13
.19
per box, the supply is
695
,
000
boxes and the demand is
590
,
000
boxes. Assume that the relations -ship between price and supply is linear and that the relationship between price and demand is linear.
(A) Find a price–supply equation of the form
p
=
m
x
+
b
.
(B) Find a price–demand equation of the form
p
=
m
x
+
b
.
1.
Prove the following arguments using the rules of inference. Do not make use of
conditional proof.
(а) а → (ЪЛс)
¬C
..¬a
(b) (pVq) →
→r
יור
(c) (c^h) → j
¬j
h
(d) s→ d
t
d
-d
..8A-t
(e) (pVg) (rv¬s)
Лѕ
קר .'
The graph of f(x) is given below. Select each true statement about the continuity of f(x) at x = 1.
Select all that apply:
☐ f(x) is not continuous at x = 1 because it is not defined at x = 1.
☐ f(x) is not continuous at x = 1 because lim f(x) does not exist.
x+1
☐ f(x) is not continuous at x = 1 because lim f(x) ‡ f(1).
x+→1
☐ f(x) is continuous at x = 1.
2. Consider the following argument:
(a)
Seabiscuit is a thoroughbred.
Seabiscuit is very fast.
Every very fast racehorse can win the race.
.. Therefore, some thoroughbred racehorse can win the race.
Let us define the following predicates, whose domain is racehorses:
T(x) x is a thoroughbred
F(x) x is very fast
R(x) x can win the race
:
Write the above argument in logical symbols using these predicates.
(b)
Prove the argument using the rules of inference. Do not make use of conditional
proof.
(c)
Rewrite the proof using full sentences, avoiding logical symbols. It does not
need to mention the names of rules of inference, but a fellow CSE 16 student should be
able to understand the logical reasoning.
Chapter 1 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences Plus NEW MyLab Math with Pearson eText -- Access Card Package (13th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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