1. Suppose that the market demand is described by P = A – B(Q+q)
where P is the market price, Q is the output of the incumbent firm,
and q is the output of the potential entrant to the market. The
incumbent’s total cost function is C(Q) = c1Q, whereas the cost
function of the
entrant is C(q) = c2q+F.
a. If the entrant firm observes the incumbent producing Q* units of
output and expects
this output level to be...
(c) (¬p ∨ q) → (p ∧ q) and p
(d) (p → q) ∨ p and T
I was wondering if I could get help proving these expressions
are logically equivalent by applying laws of logic.
Also these 2 last questions im having trouble with.
Rewrite the negation of each of the following logical expressions
so that all negations
immediately precede predicates.
(a) ¬∀x(¬P(x) → Q(x))
(b) ¬∃x(P(x) → ¬Q(x))
The equilibrium price and quantity are *
A) P=620$ and Q=800
B) P=144$ and Q=512
C) P=512$ and Q=144
D) P=220$ and Q=200
Which of the following is the Demand Equation
*
A) P=800+2Q
B) P=800-2Q
C) P=80-3Q
D) P=80+3Q
What is the self-regulation process in this case?
*
A) Price will increase until equilibrium
B) Price will decrease until equilibrium
C) Quantity will increase until equilibrium
D) Quantity will decrease until equilibrium
Calculate the quantity traded of carpets at...
PART A)
A solution is prepared by mixing equal volumes of 0.17 M HCl and
0.42 M HNO3. (Assume that volumes are additive.) Express the pH to
two decimal places.
PART B)
Using the chart Estimate [H3O+] in a 1.5 M solution of
each acid.
Express the molar concentrations to two significant figures
separated by commas.
I'm stuck on the one that says very
large. For all the other ones I multiplied the Ka by
the 1.5M. The answer for...
Prove that (((p v ~q) ⊕ p) v ~p) ⊕ (p v ~q) ⊕ (p ⊕ q) is
equivalent to p ^ q. Please show your work and name all the logical
equivalence laws for each step. ( v = or, ~ = not, ⊕ = XOR)
Thank you
Q. Let A, B independent events, with P(A) = 1/2 and P(B) = 2/3.
Now C be an event with P(C) = 1/4, and suppose that P(A|C) = 1/3,
P(B|?̅) =7/9, P(A∩B|?̅) = 7/18.
(a) Calculate the P(A∩B)
(b) Calculate the P(A|?̅) and P(B|C)
(c) Calculate the P(A∩B|C)
(d) Show if P(A∩B|C) equals P(A|C)P(B|C) or not.
1. Show that the argument
(a) p → q
q → p
therefore p V
q
is invalid using the truth table.
( 6 marks )
(b) p → q
P
therefore p
is invalid using the truth
table. ( 6 marks )
(c) p → q
q → r
therefore p →
r
is invalid using the
truth table. ( 8 marks )
Firms A and B are Bertrand duopolists facing market demand, P =
300-Q, where Q = QA+QB, and marginal cost, MC = 68. a)What level of
output will each firm will produce? b)What price will each charge?
c)Why is this outcome a Nash equilibrium?