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Two students play a zero-sum campus scavenger-hunt game. Row chooses U or
D, Column chooses
L or
R. Row's payoffs are
(U,L):3,
(U,R):-1,
(D,L):-3,
(D,R):1. In each case, Column's payoff equals 0 - Row's payoff (i.e., the sum of Row's and Column's payoff is always zero in each case). What probability of
U makes Column indifferent?
Two Monash clubs choose an event night, Thursday or Friday. If both choose Thursday, payoffs are (4,4); both Friday gives
(3,3); different nights gives
(0,0). Payoffs represent benefits from coordinating a joint event. Which statement is correct?
Two suppliers sell identical revision booklets to students and choose quantities. Inverse demand is P=100-Q, and each has
MC=20. If supplier 2 produces 30, what is supplier 1's best response?
Two shops near campus sell identical notebook packs, choose prices simultaneously, and each has constant marginal cost 7. There are no capacity constraints. What is the standard Bertrand equilibrium price?
A competitive lunch-box supplier serving Monash students has MC=5+3q and faces a price of 20. Assume operation is preferable to shutdown. What is its profit-maximising output?
A hypothetical sole supplier of custom club hoodies faces P=70-2Q and constant
MC=10, with no fixed costs. What is the monopoly price?
A price-taking campus stall has TC=36+6q+q^2, with the fixed cost already sunk for the day. The market price is 4. What should the stall do in the short run?
A student has a weekly budget of 90 for meals x and recreation
y, with
U=\ln x+2\ln y,
p_x=3, and
p_y=5. What is the optimal quantity of meals?
A Monash student allocates spending between campus lunches x and social outings
y, with utility
U=x^{1/3}y^{2/3}. At
(x,y)=(3,12), what is
MRS_{xy}=MU_x/MU_y?
In a hypothetical market for printing near Clayton, demand is Q=150-5P. At
P=10, what is the absolute point price elasticity of demand?