The follow
ing post has three assignments namely;
1.Public relations
As a colonial power, n
ineteenth century Brita
in may have exploited nation's around the world (both
in terms of human and natural resources). Nonetheless, it was also responsible for the diffusion
of modern sport forms to various "colonial outposts". Hence, Brita
in can be considered a source of colonial development as much an agent of colonial exploitation. Discuss.
2.Jon bowlbys perspective on attachment theory
Outl
ine and critically discuss Jon bowlbys perspective on attachment theory
3.Monotonic transformations
Jordan is plann
ing a party and decid
ing how much of the budget to devote to Beverages (B) and how much
to comestibles (C). Guests at the party will have the utility function
U(B,C)=3.45B3C
(a) Us
ing monotonic transformations, rewrite the utility function
in Cobb-Douglas form.
(b) Write Jordan’s maximization problem symbolically as a function of prices PB, PC , and total budget
I. That is, write an expression of the form max utility s.t. budget constra
int.
(c) Us
ing either the graphical method (MRS = MRT) or the Lagrange method, solve for the quantity
demanded of B and C as a function of prices PB, PC , and total budget I. Solve for
indirect utility as
a function of prices and budget.
(d) To maximize utility, what fraction of the budget will Jordan spend on B, and what fraction on C?
Verify that this is consistent with your answer
in (c).
We will first derive the Engel curve:
(e) Fix the prices at PB = 5 and PC = 2. What is the quantity demanded of beverages and comestibles
when the total budget for the party I is 60, 80,100, and 120. (H
int: Start by comput
ing total expenditure
on each good.)
(f) On a s
ingle graph with B on the x-axis and C on the y-axis, plot the budget set, optimal demand, and
the
indi?erence curve the optimal bundle lies on for each of the budgets listed above.
(g) On a second graph directly below the first one, with B on the x-axis and I on the y-axis, plot the
Engel curve for B. Show how the two graphs relate to each other as we did
in class.
(h) Suppose Jordan shops at SecurePath, a grocery store that carries a cheap store-brand variety of beverage
called Victor’s Mug that doesn’t t taste very good. Would you expect Victor’s Mug to be a normal
or an
inferior good? Expla
in what this means and the reason
ing for your answer.
Next, we will derive the demand curve:
(i) Now suppose the total budget for the party is I = 80 and the price of comestibles is PC = 2. What
is the quantity demanded of beverages when the price of beverages is PB = 2? What about PB = 4,
PB = 6, PB = 8, and PB = 10?
(j) On a s
ingle graph with B on the x-axis and C on the y-axis, plot the budget set, optimal demand, and
the
indi?erence curve the optimal bundle lies on for each of the prices listed above.
(k) On a second graph directly below the previous one, with B on the x-axis and PB on the y-axis, plot
the demand curve for B. Show how the two graphs relate to each other as we did
in class.
(l) Would you consider beverages and comestibles to be complements, substitutes, or neither? Expla
in
your reason
ing. (H
int: What is the quantity demanded of comestibles at each of the prices above?)
F
inally, we will decompose a demand change
into
income and substitution e?ects:
(m) What is the optimal consumption bundle when PB = 6, PC = 2, and I = 80? What is Jordan’s utility
at this consumption bundle?
(n) Now let the price of beverages
increase to 8. What is the new consumption bundle? What is Jordan’s
utility at this new bundle?
(o) Compute the compensated budget set: Set
indirect utility equal to the old utility at the new prices,
and solve for the total budget that would be required to reach the old utility given the new prices.
(p) How much of the change
in consumption of B and C between your answers to (m) and (n) is due to
substitution e?ects? How much is due to
income e?ects? (H
int: what is the compensated demand?)