Question

In: Economics

Suppose the market demand function is as follows: Q=75-6Px + 2Py + 5M where Px is...

Suppose the market demand function is as follows: Q=75-6Px + 2Py + 5M where Px is the price of x, Py is the price of Y and M is income. Currently the price of Y is $75 and income M is $200.
Determine the following:
i) If the price is $150, what is the quantity demanded? Qd=
ii) What is the price elasticity of demand? (in absolute value)
iii) At this price, demand is elastic, inelastic or unitary?
iv) What is the income elasticity of demand?
v) Could this be a luxury good? (yes or no)
vi) Determine the price and quantity such that elasticity of demand equals (-1) unitary elasticity.
Price =
Quantity =

Solutions

Expert Solution


Related Solutions

Suppose the domestic market demand function in a certain market where Q is measured in thousands...
Suppose the domestic market demand function in a certain market where Q is measured in thousands of units is Qd = 20 - 2.5P, and the domestic market supply function is Qs = 2.5P - 7.5. Suppose further that the world price for the good in question is $3.40 per unit. a) Under conditions of free trade, how much consumer surplus will there be? b) Under conditions of free trade, how much producer surplus will there be? c) How much...
Suppose the market demand for broccoli is given by Demand: Q = 1000 – 5P Where...
Suppose the market demand for broccoli is given by Demand: Q = 1000 – 5P Where Q is quantity measured in 100s of bushels and P is price per hundred bushels. The market supply is given by Supply: Q = 4P – 80 What is the equilibrium price and quantity? How much is spent on broccoli? What is consumer and producer surplus? Describe the impact of a $150 per hundred bushel price floor on broccoli. (How many bushels would be...
Suppose that a consumer has the following demand function: x ∗ (px, py, m) = 3mpy/px...
Suppose that a consumer has the following demand function: x ∗ (px, py, m) = 3mpy/px . What type of good is good x? (Remember, m > 0, px > 0, py > 0) (a) ordinary, complement, normal (b) ordinary, complement, inferior (c) inelastic, substitute, inferior (d) ordinary, substitute, normal
1. Suppose that the market demand is described by P = A – B(Q+q) where P...
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...
Consider a perfectly competitive market where the market demand curve is p(q) = 1000-q. Suppose there...
Consider a perfectly competitive market where the market demand curve is p(q) = 1000-q. Suppose there are 100 firms in the market each with a cost function c(q) = q2 + 1. (a) Determine the short-run equilibrium. (b) Is each firm making a positive profit? (c) Explain what will happen in the transition into the long-run equilibrium. (d) Determine the long-run equilibrium.
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2....
Consider a market where the inverse demand function is p =100 – Q, Q = q1+q2. Both firms in the market have a constant marginal cost of $10 and no fixed costs. Suppose these two firms are engaged in Cournot competition. Now answer the following questions: a)      Define best response function. Find the best response function for each firm. b)      Find Cournot-Nash equilibrium quantities and price. c)      Compare Cournot solution with monopoly and perfect competitive solutions.
Consider a market where supply and demand are given by QXS = -16 + PX and...
Consider a market where supply and demand are given by QXS = -16 + PX and QXd = 83 - 2PX. Suppose the government imposes a price floor of $36, and agrees to purchase and discard any and all units consumers do not buy at the floor price of $36 per unit. Instructions: Enter your responses rounded to the nearest penny (two decimal places). a. Determine the cost to the government of buying firms’ unsold units. $    b. Compute the...
Consider a market where supply and demand are given by QXS = -18 + PX and...
Consider a market where supply and demand are given by QXS = -18 + PX and QXd = 78 - 2PX. Suppose the government imposes a price floor of $36, and agrees to purchase and discard any and all units consumers do not buy at the floor price of $36 per unit. Compute the lost social welfare (deadweight loss) that stems from the $36 price floor.
Suppose the demand function for a given product is q = 5,400 - 2p2, where p...
Suppose the demand function for a given product is q = 5,400 - 2p2, where p is the price in dollars. Find the price interval(s) where demand is elastic: Find the price interval(s) where demand is inelastic: show work
Suppose the market is monopoly. The market demand function is Q subscript d equals 60 -...
Suppose the market is monopoly. The market demand function is Q subscript d equals 60 - 0.5 P, where p is the price. The firm has no fixed cost, and the marginal cost MC = 30. a. Write down the marginal revenue of this firm. b. Calculate the profit-maximizing monopolistic price and quantity. c. Calculate the profit of the firm. d. Calculate consumer surplus. After selling the products to the consumers in question (a)-(b), there are still other consumers in...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT