Related Rates - HomeworkDue date: 4:00AM Oct 21, 2020PROBLEM 3Demand Rate When the price of a certain commodity is p dollars per unit, customers demand xthousand units of the commodity, where9x +3px +5p² = 1075.85.How fast is the demand x changing with respect to tíme when the price is $13.30 per unit and isdecreasing at the rate of $2.90 per month?(Note: you may need the quadratic formula.)O Give your answer as a decimal accurate within #1% of the exact answer.

Given: 9x2+3px+5p2=1075.85p = 13.3dpdt=-2.9

Demand Rate When the price of a certain commodity is p dollars per unit, customers demand x thousand units of the commodity, where 9x +3px + 5p = 1075.85. %3D How fast is the demand x changing with respect to time when the price is $13.30 per unit and is decreasing at the rate of $2.90 per month? (Note: you may need the quadratic formula.)

Demand Rate When the price of a certain commodity is p dollars per unit, customers demand x thousand units of the commodity, where 9x +3px + 5p = 1075.85. %3D How fast is the demand x changing with respect to time when the price is $13.30 per unit and is decreasing at the rate of $2.90 per month? (Note: you may need the quadratic formula.)

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)

14th Edition

ISBN:9781305506381

Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris

Chapter14A: The Practice Of Revenue Management

Section: Chapter Questions

Problem 1E

See similar textbooks

Similar questions

AD has estimated the following demand relationship for its product over the last four years, using monthly observations: ln Qt = 4.932- 1.238 ln Pt + 1.524 ln Yt-1 + 0.4865lnQt-1(2.54) (1.38) (3.65) (2.87)R2= 0.8738where Q = sales in units, P = price in Rs., Y is income in Rs,000, and the numbers in brackets are t-statistics.a. Interpret the above model.b. Make a sales forecast if price is Rs. 9, income last month was Rs. 25,000 and sales last month were 2,981 units.c. Make a sales forecast for the following month if there is no change in price or income.d. If price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.
Please answer 13 and 14 13. Acme’s best-selling product sells for $50. Its sales and marketing team is trying to decide how to price the product for next year in order to achieve the maximum total revenue from the product, all marketing effects being the same in both years. After some research it determines that its price elasticity is 0.75 at the reasonable price range around its current price. In this situation, Acme should Group of answer choices a. Raise prices b. Match its nearest competitor’s price c. Reduce prices d. Keep prices the same 14. Suppose an investment project has an NPV of $75 million if it becomes successful and an NPV of –$25 million if it is a failure. What is the minimum probability of success above which you should make the investment? Group of answer choices a. 0.50 b. 0.25 c. 0.33 d. 0.10
DVANCED ANALYSIS Assume that demand for a commodity is represented by the equation P=80−2Qd.�=80−2��.Supply is represented by the equation P=−20+2Qs,�=−20+2��,where Qd and Qs are quantity demanded and quantity supplied, respectively, and P is price.Instructions: Round your answer for price to 2 decimal places and enter your answer for quantity as a whole number. Using the equilibrium condition Qs = Qd, solve the equations to determine equilibrium price and equilibrium quantity. Equilibrium price = $ Equilibrium quantity = units
. According to the Department of Statistics Malaysia (DOSM) in 2020, the production to five economics sectors namely services, manufacturing, agriculture, mining, and quarrying; and construction registered a contraction with a highly challenging domestic operating environment and lower global demand in response to Covid-19 Pandemic as shown in FIGURE 1. Therefore, it is putting into pressure especially to the Small-Medium Enterprises (SME) in Malaysia for making pricing decision on its products or services in relations to a firm's total revenue. briefly evaluate THREE (3) effects on a firm's total revenue in response between percentage change in quantity demanded for a goods or services with respect to the percentage change in price based on specific economics sectors
A firm keeps a record of sales and prices over the past seven months, resulting in the following table: Price (ZMW/ton) Sales (tons) Nov. 1985 7.5 84.5 Dec. 8.0 82.0 Jan. 1986 8.0 84.0 Feb. 7.2 92.0 March 7.0 95.0 April 8.0 92.0 May 8.5 91.5 Use these observations to estimate demand as a linear function of both price and time. Further, utilise this function to estimate demand for the following month, on the assumption that: (a) price remains unchanged, (b) price increases to ZMW9/ton. Hence estimate the price elasticity of demand between these prices and find the price which would maximise sales revenue. Given the nature of the observations, comment on any difficulties in interpreting your results for decision-making purposes.
the following data represents a set do demands that have occurred over the last several years at a soap making company. The data were collected on an annual basis. Year Actual Demand (At) Forecast (Ft) 1 310 2 365 3 395 4 415 5 450 6 465 7 a) using the SIMPLE AVERAGE method to predict the demand for the 7th year b) the SIMPLE MOVING AVERAGE method to predict the demand for the 7th year
kad has estimated the following demand relationship for its product over the last four years, using monthly observations: ln qt = 4.932- 1.238 ln pt + 1.524 ln yt-1 + 0.4865ln qt-1 (2.54) (1.38) (3.65) (2.87) r 2= 0.8738 where q = sales in units, p = price in rs., y is income in rs,000, and the numbers in brackets are t-statistics. a. interpret the above model. b. make a sales forecast if price is rs. 9, income last month was rs. 25,000 and sales last month were 2,981 units. c. make a sales forecast for the following month if there is no change in price or income. d. if price is increased by 5 per cent in general terms, estimate the effect on sales, stating any assumptions.
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 less
The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95ep − 3p2⁄2, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a)Determine the price elasticity of demand E when the retail price is set at ¥300. E = Interpret your answer. The demand is going by % per 1% increase in price at that price level. Thus, a large price ___ is advised. (b)At what price will revenue be a maximum? (Round your answer to the nearest integer.) yen (c)Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) paint-by-number sets per month
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…
Suggest plausible factors which could have an impact on the demand and supply of oil in the near term.o Argue whetheron balance these effects are expected to push oilprices up, down, or keep them stable.o Include diagrams as appropriate.
The estimated monthly sales of Mona Lisa paint-by-number sets is given by the formula q = 95e−3p2 + p, where q is the demand in monthly sales and p is the retail price in hundreds of yen. (a) Determine the price elasticity of demand E when the retail price is set at ¥400. E = _____ Interpret your answer. The demand is going down/up by ____ % per 1% increase in price at that price level. Thus, a large price decrease/increase is advised. (b) At what price will revenue be a maximum? ____ hundred yen (c) Approximately how many paint-by-number sets will be sold per month at the price in part (b)? (Round your answer to the nearest integer.) ______ paint-by-number sets per month