(3 points) When sold for $259,000.00, Ferraris have an annual supply of 6758 vehicles and an annual demand of 6691 vehicles. When their price increases to $279,000.00, the annual supply increases to 6913, and the demand decreases to 6010 billion gallons. (a) Assuming that the supply and demand equations are linear, find the supply and demand equations. Supply Equation p= Demand Equation p = mg + b where p denotes the price (in dollars) and q denotes the quantity. The slope (Note: The equations should be in the form p and y-intercept should be accurate to two decimal places). %3D (b) Find the Equilibrium price and quantity. Equilibrium price p = Equilibrium quantity q= (Note: The equilibrium price and quantity should be accurate to two decimal places, and the equilibrium price should include a dollar sign).
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- Your friend Claire has been designing her own hoodies and giving them as gifts to friends and family. She has decided to sell them online soon by using a 3rd party website with a service surcharge based on her pricing. Using the information below, what is the relationship between Claire's selling price per hoodie and profit margin? (Please plot a graph dipcting the relationship) Costs ($) Base Hoodie Cost $30 Craft Supplies to design $10 Selling Website Service Charge 5%A company estimated that the relationship between the unit price and demand per month for a potential new product is approximated by P = $ 100 – $ 0.1D. The company can produce the product by increasing fixed costs $ 17,500 per month, and the estimated variable costs is $ 40 per unit. What is the optimal demand, D*, and based on this demand, should the company produce new product? Why? a) Work out the complete solution by differential calculus, starting with formula for profit or loss per month b) Solve graphically for an approximate answerScenario The government of the island nation of Autarka has become increasingly concerned about the health and wellbeing of low income households. Medical experts stress the importance of a healthy diet in this regard. They have determined that, ideally, a household would consume at least 10kg of fresh fruit and vegetables each week. The government has proposed implementing a new voucher scheme to ensure that the 10kg per week consumption target is met. Under the government’s proposal, the vouchers would be redeemable for fresh fruit and vegetables, but could not be used for other types of food, or for non-food consumption. Moreover, to limit the cost of the voucher scheme, the value of the vouchers sent to a household would be linked to the household’s income. Community groups in Autarka have expressed concern that a voucher scheme is unnec- essarily paternalistic; depriving low income households of the choice of how to spend their income. These groups argue that the government’s…
- FG Manufacturers wants to determine the effectiveness of their pricing decisions for their product Lylo. As a consultant, you have been asked to develop cost functions that will assist in arriving at the optimal price that will enable the company to maximize profits. During the year, you were provided with the following demand and costs functions for the product: P = 400 – 6Q; where P is the unit selling price and Q is quantity in thousands of units. TC = 8Q2 + 36Q + 150; where TC is total cost in thousands of dollars. Determine the optimal sales revenue. Calculate the maximum profit. Briefly outline two (2) factors to be considered by managementswhen pricing decisions are being made.Agnes, a General Manager in XXX Company, estimated a multiplicative demand function of the form: using a cross-section data collected in the company sales on 30th June, 2019. The estimation results are as follows: Constant Price(P) Income (I) Price of other Good (Po) Estimated coefficient 0.022 -0.223 1.354 0.133 Standard Error 0.012 0.056 0.502 0.814 t-statistic (1.19) (-3.98) -2.69 -0.13 Number of Observations, n=210; R-squared= 0.7516 Critical Students t=1.96 at 5% Level of Significance Write down the estimated demand equation Interpret the coefficients and value Describe any three managerial decisions that can be applied by the manager from the estimated demand functionQ2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share?
- Q2 The manufacturer of a low-sugar bottled juice estimated the following demand equation for its product using data from 25 retail stores around Dover city for the month of November: Q=-2000-15 Pje+ 8.4Px + 0.51 + 0.4A (220) (5.0) (5.6) (0.2) (0.16) R²=0.57 n=25 F = 6.83 Assume the following values for the independent variables: Standard error 1 Q denotes quantity sold per month Pje (denotes price of the bottled juice) = 240 (in cents) P. (denotes price of leading competitor's product) - 300 (in cents) I (denotes per capita income of the standard residential district in which the retail store is located) = 4000 (in dollars) A (denotes monthly advertising expenditure) = 7700 (in dollars) Using this information, answer the following questions: a. Compute elasticities for each variable.. b. Do you think that this firm should cut its price to increase its market share? Explain..Scenario:The government of the island nation of Autarka has become increasingly concerned about the health and wellbeing of low income households. Medical experts stress the importance of a healthy diet in this regard. They have determined that, ideally, a household would consume at least 5kg of fresh fruit and vegetables each week. The government has proposed implementing a new voucher scheme to ensure that the 5kg per week consumption target is met. Under the government’s proposal, the vouchers would be redeemable for fresh fruit and vegetables, but could not be used for other types of food, or for non-food consumption. Moreover, to limit the cost of the voucher scheme, the value of the vouchers sent to a household would be linked to the household’s income. Community groups in Autarka have expressed concern that a voucher scheme is unnec- essarily paternalistic; depriving low income households of the choice of how to spend their income. These groups argue that the government’s…in excel Price Demand 2000 4500 2800 3600 3500 1850 4000 1200 5000 820 Based on the data above estimate the demand function. When you estimate demand curve, please compare the following options and choose the one with highest R square Exponential Linear Power
- A large company in the communication and publishing industry has quantified the relationship between the price of one of its products and the demand for this product as Price=160−0.02×Demand for an annual printing of this particular product. The fixed costs per year (i.e., per printing)=$47,000 and the variable cost per unit=$40. What is the maximum profit that can be achieved? What is the unit price at this point of optimal demand? Demand is not expected to be more than 4,000 units per year. The maximum profit that can be achieved is $? (Round to the nearest dollar.) The unit price at the point of optimal demand is $? per unit. A small countertop installing company hires you to estimate their customers weekly demand function for marble (per sq ft). The demand function is as follows: Qm=5000-30Pm +20Pg + 0.05Inc m=marble, g= granite, inc = avg disposable income for home improvements in the surrounding area. Current prices: marble = 40, granite = 25 and disposible income = 5000 Suppose during the supply change shortage the price of marble triples to $120 Determine the elasticity of demand at the new market price for marbleThe Almost-Graduating Senior Problem. Consider this situationfaced by a first-semester senior in civil engineering who is exhaustedfrom extensive job interviewing and penniless from excessivepartying. Mary’s impulse is to accept immediately a highly attractivejob offer to work in her brother ’s successful manufacturing company.She would then be able to relax for a year or two, save some money,and then return to college to complete her senior year and graduate.Mary is cautious about this impulsive desire, because it may lead tono college degree at al a. Develop at least two formulations for Mary’s problem.b. Identify feasible solutions for each problem formulation in Part (a).Be creative!