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- (Calculating Price Elasticity of Demand) Suppose that 50 units of a good are demanded at a price of Si per unit. A reduction in price to $0.20 results in an increase in quantity demanded to 70 units. Using the midpoint formula, show that these data yield a price elasticity of 0.25. By what percentage would a 10 percent rise in the price reduce the quantity demanded, assuming price elasticity remains constant along the demand curve?Calculate the price elasticity of demand for mobiletelephones where the quantity sold decreases from 225 to180 when the price rises from BD50 to BD57.5 3) With the help of a diagram, analyse the impact of entry ofnew suppliers into an industry on the demand and supplycurves. Make sure that your diagram is labelled clearly.Producers of a certain brand of refrigerator will make 1600 refrigerators available when the unit price is $320. Ata unit price of $370, 5600 refrigerators will be marketed. Find the equation relating the unit price p of a refrigerator to the quantity supplied x if the equation is known to be linear How many refrigerators will be marketed when the unit price is s4207 refrigerators What is the lowest price at which a refrigerator will be marketed?
- A firm estimated a demand function for their mugs:Dm = 1.25Y- 0.8Pm + 0.5Dc – 0.1PcWhere D stands for demand, Y is income growth, P is the price, m is mugs, and c is coffee. (a) What is the price and income elasticity of demand estimates for mugs? (b) How do we estimate the cross price elasticity between coffee mugs and coffee? Are they complementary goods or substitute goods?A firm is faced with the following demand function (estimated in a regression equation based onpast data).QX = 200 – 4PX , where current price (PX ) = $30The firm is thinking of reducing price to $25 because someone suggested that wouldbring in more revenue. a. What is the own-price elasticity of demand? (show absolute value)b. Is the demand function elastic, inelastic or unitary elastic at a price of $30?c. Will the price reduction bring in more revenue?A local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…
- The demand function for SkanDisc 2GB thumb drives is given by p- 4(x + 3) e"/a where p is the wholesale unit price in dollars and x is the quantity demanded each week, measured in units of a thousand. Compute the price, p, when x 6. Do not round your answer. Price, p- 36e dollars Use implicit differentiation to compute the rate of change of demand with respect to price, p, when x- 6. Do not round your answer. Rate of change of demand, x' x thousands of units per dollar Compute the elasticity of demand when x - 6. Do not round your answer. Elasticity of Demand-Big City Java is a local coffee bar. Using Excel, the manager of Big City Java estimates the weekly demand function for their grand mocha coffees to be Qd = 650 (15.25 x P). The estimated regression equation suggests that if Big City Java decreased its price of grana mocha coffees from $7.50 to $6.50, the predicted quantity demanded of coffees would O increase by 15.25 O exactly double O not change O decrease by 15.25The manager of the Sell-Rite drug store accidentally mismarked a shipment of 20- pound bags of charcoal at $3.15 instead of the regular price of $4.25. In a week, a total of 180 bags of charcoal was sold. The store normally sells an average of 120 bags per week. What is the store’s arc elasticity of demand for charcoal? Also make an economic interpretation of the elasticity figure.
- A garden shop determines the demand function D(p) = 4p+1000 during early summer for %3D 40p+26 comato plants where q is the number of plants sold per day when the price is p dollars per plant. a. Find the price elasticity of demand equation. b. Calculate the price elasticity of demand at a price of $3. Is the demand elastic, inelastic, or unit elastic? How do you know? C. Based on the information in part b, should the garden shop increase, decrease, or leave the price the same at $3 if it wants to increase revenue? Explain. d. Calculate the revenue before the price change and after to support your answer to part c.BigSwaba Corp produces virus home test kits which it sells in the market. It pays a marketing company to post Instagram images of people using the kits in the comfort of their own homes. The demand for the kits and cost of production are as follows: 1 1 Cost: C=200+=q´ +m 1/2 Demand: p=48+m/: Where m is the firm's marketing expenditure. Assume the CEO of BigSwaba asks you to help the company maximize profit. а. How many kits should the company sell and at what price? b. What is the demand elasticity at this output level? C. What should their marketing budget be? Assume the CEO of BigSwaba realizes her bonus will determined not by profits, but by the firm's revenue. Maintaining the same marketing budget as in part a: d. What quantity should the firm produce to maximize revenue?Answer the question using the 3 -step approach 2. Due to Covid 19, there has been a major delay with the shipping lines causing an increase in shipping costs for major retailerShipping cost is a major cost component for shea products. How will Covid affect the supply and demand for Shea products? 3. A 12 % increase in the price of fuel reduces the quantity of fuel demanded by 3 %. What is the price elasticity of demand for fuel?What can you say about elasticity?