The only gas station in a small town sells both regular and premium gasoline. The weekly demand functions for the two gasolines are Qdregular = 10,000-1,000 Pregular+50 Ppremium Qdpremium = 350 + 50 Pregular-100Ppremium where quantities are measured in gallons and prices in dollars per gallon. If the price of regular gas is $3.70 per gallon, its marginal cost is $2.95, and the marginal cost of premium is $3.75, what is the profit - maximizing price of premium gas?
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- The Talbot Company uses electrical assemblies to produce an array of small appliances. One of its high cost / high volume assemblies, the XO-01, has an estimated annual demand of 8,000 units. Talbot estimates the cost to place an order is $50, and the holding cost for each assembly is $20 per year. The company operates 250 days per year.3. Garibaldi Provincial Park is located between Squamish and Whistler. A travel cost survey was completed to estimate demand for trips to the park. Bascd on the survey an estimated demand function was derived to represent an average household: P= 200 – 50Q. This is demand per year per household. If there are approximately 2000 households with a travel cost of $150, 3000 households with a travel cost of $100, and 4000 households with a travel cost of $50, what is the total consumer surplus per year from the park?Forty thousand potential customersof a cable TV franchise are each willing to pay $11/month for HBO and $11/month for Cinemax. Twenty thousand potential customers are willing to pay $20/month for HBO and only $5/month for Cinemax. Assume costs are zero. If the franchise sells the two services in a bundle, it should charge1: $312: $253: $224: $205: $18
- Dataware is trying to determine whether to give a $10 rebate, cut the price $6, or have no price change on a software product. Currently, 40,000 units of the product are sold each week for $45 apiece. The variable cost ofthe product is $5. The most likely case appears to bethat a $10 rebate will increase sales 30%, and half of all people will claim the rebate. For the price cut, the most likely case is that sales will increase 20%.a. Given all other assumptions, what increase in sales from the rebate would make the rebate and price cut equally desirable?b. Dataware does not really know the increase in sales that will result from a rebate or price cut. However, the company is sure that the rebate will increase sales by between 15% and 40% and that the pricecut will increase sales by between 10% and 30%.Perform a sensitivity analysis that could be used to help determine Dataware’s best decision.Sampson Ltd produces two products that can be produced on either of two machines. Each month, only 5o0 hours of time are available on each machine. The time required to produce each item by hour and machine is: Machine Machine Product 1 Product 2 3 4 Month Month 1 Month 2 Month 1 Demand Demand Price Price Product 1 100 160 $45 $65 $10 Product 2 120 110 $35 The demand and price point for each product that customers are willing to pay are above. The company goal is to maximize revenue from sales from the next two months. Based on the provided information, how many constraints does this problem have excluding the non-negativity constraints?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?
- 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 amonthThe 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 substitutabilitya) 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) - 6.0000020
- 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 unitsMultichoice company broadcasts to subscribers in Lusaka and Solwezi. The demand for each ofthese two groups are Qsz= 50 - (1/3) Ps and QUSK= 80 - (2/3) Pusk, where Q is in thousands ofsubscriptions per year and P is the subscription price per year. The cost of providing Q units.ofservice is given by C (Q) = 1000 + 30Q, where Q = Qsz + QusK. Assuming Multichoice is aMonopoly and can engage in third-price discrimination, then1. What is the profit-maximizing price and quantity in Solwezi Market?2. What is the profit-maximizing price and quantity in Lusaka Market?3. Suppose the Monopoly can only charge a single. What price should it charge and what isthe total quantity sold?