ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for equations for these Thingamajigs are 91 120 1.5p₁ + P₂ and 92 = 100 + 2p1 - 3p2 where p₁ and på are the prices that ACME sets for Type 1 and Type 2 Thingamajigs, respectively, and ₁ and 2 are the corresponding weekly demands for these goods. ACME's weekly production cost is given by c = 40q₁ +30q2 + 2000. The prices that ACME should set to maximize their weekly profit are n*

ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for equations for these Thingamajigs are 91 120 1.5p₁ + P₂ and 92 = 100 + 2p1 - 3p2 where p₁ and på are the prices that ACME sets for Type 1 and Type 2 Thingamajigs, respectively, and ₁ and 2 are the corresponding weekly demands for these goods. ACME's weekly production cost is given by c = 40q₁ +30q2 + 2000. The prices that ACME should set to maximize their weekly profit are n*

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter6: Demand Relationships Among Goods

Section: Chapter Questions

Problem 6.4P

See similar textbooks

Similar questions

Green et al. (2005) estmate the supply and demand curves for Californa processod tomatoes. The supply function is: \[ \ln \left(Q_{s}\right)=0.200+0.550 \ln (p) \] whereQis the quantify of processing tomatoes in milions of tons per year andpis the price in dollars per ton. The demand function is: \[ \ln \left(Q_{d}\right)=2600-0.200 \ln (p)+0.150 \ln \left(p_{1}\right) . \] wherep1is the price of tornato paste (which is what processing tomatoes are used to produce) in dollars per ton. Supposept=$119Determine how the equilerium price and quantity of processing tomatees change if the price of tomato pasise tails by16%. If the price of tomato paste fals by18%, then the equaborium price will by 5 (Enter a numene response using a real number rounded to two decimal places)
A consumer’s preferences over two goods x and y are given bythe utility function U(x, y) = x^αy^β with α, β > 0. The prices of the goods are px = 2 and py = 4.The consumer has an income of I > 0.• For what values of α and β are these utility functions strictly monotone?• For what values of α and β will the consumer demand (i.e., Walrasian demand) be more x than y?• For what values of α and β are these goods gross substitutes? For what values of α and β are these goods gross complements? Provide a justification for your answer.
During the night, the electricity sector has a marginal cost of $1/MWh (megawatt-hour) forthe first 100 MWh produced (from wind turbines), and $20/MWh for each additional unit (from gasgenerators). During the day, they have a marginal cost of $1/MWh (megawatt-hour) for the first 50MWh produced (from solar panels), and $20/MWh for each additional unit (from gas generators).Nighttime and daytime demand are given by QnightD = 50 −P and QdayD = 200 −P , respectively.What are the market quantity and price during the day, and the market quantity and price at night?This is a model of the wholesale market for electricity, which you can think of as being competitive,but there is no resale between night and day.
Given U = (x + 2) (y + 1) and Px = 4, Py = 6, and B = 130; (a) Write the Lagrangian function (b) Find the optimal levels of purchase x* and y*. (c) Is the second-order sufficient condition for maiximum satisfied? (d) Does the answer in (b) give any coparative-static information?
Considering, QDx = - 4Px -0.02R + 2Pz, and assuming that the individual's income (R) is equal to $600, and the price of the good z (Pz) equals $10, if the individual's income (R) reduce to $300, will the individual's demand for good x increase or decrease? CALCULATE and GRAPHICALLY ILLUSTRATE the behavior of demand for good x. Then inform what kind of property this is.
Time remaining:00 :09 :39EconomicsUse the following to answer questions (29) - (31):In the town of “One Horse” there is one movie theater. Two groups of consumers, adults (A) andchildren (C), attend this theater. Suppose the demand for movies by adults is given by:QA = 50 - 0.50PA, where PAis price ofan adultmovie ticket(in cents)and QAis the numberofmovie tickets sold to adults atthe theater. Suppose the demand for movies by children is given by:QC = 20 - 0.50PC,where PCispriceofa children’s movie ticket(in cents)and QCis the numberofmovie tickets sold tochildren atthe theater. Also, imagine totalcostis fixed at$450, thus makingmarginalcostofprovidingonemore movie ticket to either an adult or a child constant at zero.[29]Ifthe movie theateris able to price discriminate amongits two groups ofconsumers, then itshouldcharge a higher price to group A.A.TrueB.False[30]Ifthemovie theateris able to price discriminate amongits two groups ofconsumers, then itsmaximum profit is closest in value…
Normally, the people of COVID-FREE LAND demand of 3,000 sanitizers and 18,000 toilet rolls. Suddenly, there is an outbreak of COVID-19 and the demand for sanitizers and toilet rolls has increased to 4,000 and 20,000, respectively. How would COVID-FREE LAND meet its new demand. Identify and comprehensively discuss at least three possibilities or ways. State all appropriate assumptions made.
Consider a Sraffa system that describes production with a surplus. Assume that the whole of thewage is variable. The number of commodities in the system is n. Some are non-basiccommodities.a. Write the price equations in matrix notation. (Make sure to mention the dimensions of thevectors and matrix in your equation). b. Explain the economic meaning of the A matrix and l vector. c. Identify the unknown and known variables of your system. d. How can you make the system determinate, i.e., make the number of equations equal tothe number of unknowns? e. State the economic meaning of the viability condition and express it mathematically. f. Assume that the viability condition is satisfied and the rate of profit is given exogenouslyat a level that is lower than the maximum rate of profit. Explain, with the help of therelevant theorem, why the solution for prices must be nonnegative. NOTE: You need to use only three equations, one for specifying the numeraire, thesecond for expressing the…
Normally, the people of COVID-FREE LAND demand of 3000 sanitizers and 18000 toilet rolls. Suddenly, there is outbreak of covid-19 and demand for sanitizers and toilet rolls increased to 4,000 and 20,000 respectively. How could COVID-FREE land meets its new demand. Identify and comprehensively discuss at least three possibilities or ways.
The following relations describe monthly demand and supply for a computer support service to small businesses: Qd=3000-10P Qs=-1000+10P whrer Q is the number of businesses that need services and P is the monthly fee, in dollars. a. at what average monthly fee would demand equal zero? b. at what average monthly fee would supply equal zero? c. plot the supply and demand curves. d. what is the equilibrium price/output level? e. Suppose demand increases and leads to a new demand curve: Qd = 3500 - 10P f. Suppose new suppliers enter the market due to the increase in demand so the new suply curve is Q=-500+10P. What are the new equilibrium price and equilibrium quantity? g. Show changes on the graph.
a. Estimate the equlibrium price and quantity of the market whose demand and supply functionsare pd = −(q + 4)2 + 100 and ps = (q + 2)2respectively. b. If the region A (shaded grey) in the diagram above represents a solution set, derivethe system of inequalities which define that region.
The market demand for productXis given by: \[ Q_{d}=6-1 / 2 P \text { or } P d=12-2 Q \] The market supply for goodXis given by: \[ Q_{s}=-14+2 P \text { or } P s=7+1 / 2 Q \] whereP=price per unit andQis number of units. Draw a supply-and-demand graph with these curves. 1.) Using the line drawing tool, draw the supply and demand curves. Properly label your lines. 2.) Using the point drawing tool, plot the equilibrium point. Label your point 'E'. Note: Carefully follow the instructions above and only draw the required objects. The equilibrium price is$and the equilibrium quantity is unit(s). (Enter your responses as integers.) A per-unit excise tax is imposed on suppliers of productX, and the market supply with the tax is now given by: \[ Q_{s}=-19+2 P \text { or } P s=9.50+1 / 2 Q \] Using the graph on the right, show this supply curve. 1.) Using the line drawing tool, draw the new supply curve. Label your line 'S1+tax'.1. Note: Carefully follow the instructions above and only draw…