1)lf the price of a product increases by 10 % and demand decreases by 25%. It is the situation of: A) Relatively elastic demand B) Unitary elastic demand C) Relatively inelastic demand D) Perfectly elastic demand
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- 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…You decide to sell pairs of running shoes. Assume that the quantity demanded is alinear function of the price. It is known that if you charge $40 per pair of shoes, thenyou will be able to sell 400 pairs of shoes in a month. If you charge $60 per pair ofrunning shos, then you can sell 300 pairs of shoes in a month. It is also known thatyour monthly fixed cost is $100 and pairs of shoes cost $20 per shoe to produce. Findwhat price you should charge for a pair of shoes in order to maximize profit in amonthA local newspaper currently has 84,000 subscribers at a quarterly charge of $30.Market research has suggested that if the owners raise the price to $32, they wouldlose 5,000 subscribers. Assuming that subscriptions are linearly related to theprice, what price should the newspaper charge for a quarterly subscription tomaximize their revenue?a) Find the cost function (Hint: find slope and use point-slope form to find thecost function) b) Find the revenue function c) Find the maximum revenue d) Find the profit function
- The elasticity of resource demand is calculated as: % Chage in resource quantjty/% Change in resource price If a calculation of Resource Demand Elasticity returns a quotient that is less than 1, then O Resource demand elasticity is relatively elastic, indicating there is a lack of resource substitutability O Resource demand elasticity is relatively elastic, indicating there is an ease of resource substitutability Resource demand elasticity is relatively inelastic, indicating there is a lack of resource substitutability Resource demand elasticity is relatively inelastic, indicating there is an ease of resource substitutabilityProblem 2 Refer to problem 1.(Problem 1: Auto Mart is a mythical seller of a variety of automobileparts and accessories. Auto Mart's owner, Jonathan Trott, wishes to determine the optimum order quantity for oneof the store's popular wiper blades. The annual demandfor the wiper blades is 16,000. The annual holding costper unit is US$2.50, and the cost to place an order is US$50:) Assuming that holding costs and ordercosts remain the same, if annual demand for wiper blades doubles to 32,000, does the EOQ also Double? Explainyour answer with relevant calculations.The demand function for a crrtain product is giving by p=500+1000/(Q+1). where p is tje price and q is the number of units demand. Fimd the average price as demand ranges from 49 to 99
- a) The weekly demand for Pulsar 25 colour LED Felenrion is p>600 -0.05x, (osxs12,000), where p denotes the wholesale unit price in dollars and x total cost denotes the quantity demanded. The weedly fonction arrociated with manufacturing the Pulsar 25 is 3-0.03x*+400x +80,000 given by x , where ca) denotes the total Cost incurred in producing I setr . ) Find the revenue function R and profit function P. CO) - 6.0000020The 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-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?
- Sal’s Streaming Company streams TV shows to subscribers in the US and Canada. Demand is??? = 50 − (1⁄3)??? and ??? = 80 − (2/3)???where ?’s are in thousands of subscriptions per year and ?’s are the subscription prices per year.The cost of providing ? units of service is given by ?? = 1000 + 30?, where ? = ??? + ???.(a) What are the profit-maximizing prices and quantities for the US and Canadian markets?(b) As a consequence of a new VPN service that Facebook has developed, subscribers in Canadaare now able to get the US streams and vice versa, so Sal can charge only a single price. Whatis the profit-maximizing single price that he should charge?(c) In which situation is Sal better off? In terms of consumers’ surplus which situation do peoplein Canada prefer and which do people in the US prefer? Why?Please no written by hand the demand function for a manufacturer's product is p = f(g) = - 0.20g + 500, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. what quantity will maximize the revenue. q = blank units) A company manufacturing laundry sinks has fixed costs of $100 per day but has totalcosts of $2,500 per day when producing 15 sinks. The company has a daily demand functionof q = 360 − p, where q is the number if laundry sinks demanded and p is te price ofa laundry sink. Find a function for the average cost of this company. (c) If production increases continuously, what is likely to be the average cost per sink? (d) How many laundry sinks will the company need to produce in order to maximise it′s profits? (e) What is the maximum profit?