The demand function is described by the equation qip)-130-p/5. The inverse demand function is described by the equation A p(q)-650-5q. OB. p(q) - 1/130-q/5. OC q(p)-130-5p. OD. q(p)-1/(130-p/5). O E. p(q)-130-q/5.
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- 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.MK Corp estimates that its demand function is as follows: Q = 400 - 12:5P + 25A + 14Y+ 10P* where Q is the quantity demanded per month, P is the product’s price (in Rs.), A is the firm’s advertising expenditure (in Rs.’000 per month), Y is per capita disposable income (in Rs’000), and P* is the price of AJ Corp. a. During the next five years, per capita disposable income is expected to increase by Rs. 5,000 and AJ is expected to increase its price by Rs 12. What effect will this have on the firm’s sales volume? b. If MK wants to change its price by enough to offset the above effects, by how much must it do so? c. Compare the profitability of maintaining sales volume by either changing price or changing advertising spending. d. If MK’s current price is $60 and it spends $10,000 per month on advertising, while per capita income is $25,000 and AJ’s price is $70, calculate the price elasticity of demand with the price change. e. What can be said about the effect of the above price change…The demand x is the number of items that can be sold at a price of $p. For x = p" - 3p° + 1500, find the rate of change of p with respect to x by differentiating implicitly. The rate of change of the price p with respect to the demand x is
- the demand for boneless chicken breast, in dollars per pound, is given by q=-0.7p+5, where p represents the price per pound and q represents the average number of pounds purchased per week per customer. Determine the price at which the demand for boneless chicken breast is unit elastc.Given the inverse demand function: P = 60 - 34Q the price elasticity of demand can be expressed as: O(-4/3). (Q/P) (-3/4). (P/Q) O(-4/3). (Q/P) (-4/3). (P/Q) None of theseThe demand equation for school lunches is x=100-10pwhere x is the number of lunches purchases and p is the price in dollars. Which of the following represents E(p)? A) p/10-p b) -p/10-p c) p/20-p d) -p/100-10p e) p2/100-10p
- 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?The demand equation for a certain brand of pencil is 100y? + 9t2 = 3600 where (y) represents the number (in thousands) of ten-packs demanded each week when the unit price is $(t). How fast is the quantity demanded increasing when the unit price per ten-pack is $14 and the selling price is dropping at the rate of $0.15 per ten-pack per week?A TV channel has estimated the demand for its service to be given by the following function: Q=9.83p-1.2A2.5Y1.6P0-1.4 where Q = monthly sales in units P = price of the service in $ A = promotional expenditure in $’000 Y = average income of the market in $’000 P0 = price of ‘home movies’ in $ The current price of the TV channel is $60, promotional expenditure is $120,000, average income is $28,000, and the price of ‘homemovies’ is $45. Indicate whether the following statements are true or false, giving your reasons and making the necessary corrections e. ‘Home movies’ are a substitute for the TV channel.f. A 5 per cent increase in income will increase demand by 16 per cent.g. A 10 per cent increase in price will reduce demand by 12 per cent.h. Current sales are over a million units a month. i. The demand curve for the channel is given by:Q=9.83p-1.2j. The channel’s sales are more affected by the price of ‘home movies’ than by the price of its own service.k. If the channel increases its…
- In the nonlinear function Y = ax ZC, the parameter c measures Multiple Choice O O O the percent change in X for a 1 percent change in Z. None of these options are correct. the elasticity of Y with respect to Z. ΔΥ/ΔΖ.The demand equation for a particular candy bar is px + x + 20p = 3000 where 1000x candy bars are demanded per week when p cents is the price per bar. If the current price of the candy is 49 cents per bar and the price per bar is increasing at the rate of 0.2 cents each week, find the rate of change in the demand.Suppose the demand for a product is given by D(p) : - 4p + 232. A) Calculate the elasticity of demand at a price of $16. (Give your answer to three decimal places.) Elasticity = B) At what price do you have unit elasticity? (Round your answer to the nearest penny.) Price = $