1. Demonstrate that ɛ = Ex,l + Ex,k Note that: aA /A = Ək / k = al / 1 And &r/ is the elasticity product of the factor l. %| Similar for the factor k.
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- q3- What is the correct interpretation of elasticty value of 0.5 for Y with respect to X? Select one: a. If X increases by 1 unit, Y increases by 0.5 unit. b. If X increases by 1%, Y increases by 0.5%. c. If Y increases by 1 %, X increases by 0.5 %. d. If Y increases by 1 unit, X increases by 0.5 unit.The manager of a small town grocery store who is in charge of ordering products reads in the newspaper that the unemployment related to the Covid-19pandemic is expected to decrease local incomes by 2596 on average in the next month. He knows that the income elasticity of demand for rice isapproximately -0.5. Given that rice is agood, the manager should stockrice.O A. normal: 109 moreO B. inferior: 12.595 moreO C. inferior: 12.59 lessO D. normal: 12.596 lessThe demand equation for cans of chicken is Qd= 60-3p Suppose the price of a can of chicken increases from $5 to $10. The price elasticity of demand is _________ (use decimals if necessary). We classify this price elasticity of demand as ____ over the $5 to $10 price change. A. Elastic B.Inelastic C.Unit elastic
- As a manager of a small software retailing company, you are concerned with projected profit next year. While profit can be determined as the difference between sales and maintenance cost, or in symbols, P = S - M, where P is profit, S is sales, and M is maintenance cost including technical support. It is argues that when sales goes up so does maintenance cost because the cost of technical support will go up. Further, it is measured that the correlation between S and M is 0.8. Now given the figure that sales next year is expected to be $300 thousand with standard deviation of $4 thousand and maintenance cost is expected to be $150 thousand with standard deviation of $6 thousand, what would be the expected profit and its standard deviation you will include in your report?Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level? __________ What is the income elasticity of demand for gasoline at this price, income, and quantity level? __________ What happens to the income elasticity of gasoline demand if I rises from 60 to 100? It _____________ (rises/falls) to ______________. Does this change in elasticity make gasoline buying more or less sensitive to income changes? __________An analyst for FoodMax estimates that the demand for its Brand X potato chips is given by ln QdX = 12.14 – 2.8 ln PX + 3.4PY + 0.7 ln AX, where Qx and PX are the respective quantity and price of a four-ounce bag of Brand X potato chips, PY is the price of a six-ounce bag sold by its only competitor, and AX is FoodMax’s level of advertising on Brand X potato chips. Last year, FoodMax sold 7 million bags of Brand X chips and spent $0.42 million on advertising. Its plant lease is $2.1 million (this annual contract includes utilities) and its depreciation charge for capital equipment was $2.8 million; payments to employees (all of whom earn annual salaries) were $0.8 million. The only other costs associated with manufacturing and distributing Brand X chips are the costs of raw potatoes, peanut oil, and bags; last year FoodMax spent $2.8 million on these items, which were purchased in competitive input markets. Based on this information, what is the profit-maximizing price for a bag of…
- The demand equation for a particular candy bar is px + x + 20p = 3000 where 1000x candy bars are demanded per week when p dollars is the price per bar. If the current price of the candy is 49 dollars per bar and the price per bar is increasing at the rate of 0.2 dollars each week, find the rate of change in the demand.These questions require application of economic theory relating to elasticity of demand andsupply. All calculations must be shown in full. Answer ALL the questions.Q.3.1 A store that sells maize meal discovers that when the price of 1kg maize meal IsR24 per kilogram, the quantity demanded is 306 kgs per week. When the pricedecreases to R21 per kg, then the sales increase to 340 kgs per week. Use thisinformation to answer questions Q.3.1.1 and Q.3.1.2 below.Q.3.1.1 Determine the price elasticity of maize meal using the Arc method. (5)Q.3.1.2 Discuss the relationship between the price elasticity of maize mealand the total revenue the store received from the sales. Advise thestore on an appropriate pricing strategy.(7)Q.3.2 The store selling maize meal makes a further discovery, when the price of ricechanges from R30 per kg to R26 per kg, then the quantity of rice demandeddecreases from 1360 kg per month to 1238 kg per month. Use this informationto answer Q.3.2.1 and Q.3.2.2 below.Q.3.2.1…Please can I get some explanations on this question. Especially when ln was added to find the elasticity.
- Exercise : Following an increase in it's price, from 10$ to 12$, the demand for a good falls from 10500 to8100 units.What elasticity of demand would you estimate from these data? Calculate its value, first by using the general formula (for discrete changes), then by assuming a constantconstant elasticity of demand (log formula).Calculate the demand for p=9 (note q9 the quantity for p=9), using the general formula then in log of the elasticity calculated in Now, Knowing the value of the direct price elasticity of demand calculated previously, assuming constant costs andcosts and rivals not responding to your price cut, would you have recommended the price cut from 10 to 9?price cut from 10 to 9 ?Suppose household annual demand for gasoline follows the equation QD = 2000 – 500P + 25I where P is the price of a gallon of gasoline and I is household income in 1000s of dollars. Suppose that P = 3 and I = 60. What quantity of gasoline will households demand at this price and income level?Elasticity. At the current price of cigarettes at P25 per pack, current consumption wasdetermined to be 50,000 packs per month. The producers are contemplating an increase inthe price of P3 per pack, but they are apprehensive that consumption might drastically fall.An economist knows that such price increase would reduce consumption by 20%.c. Compute for the arc elasticity of demand for cigarettes between the given pints.d. Should the producers push though with their contemplated action or not? Why?
