Calculus
posted by jacob .
When an electronics store prices a certain brand of stereos at p hundred dollars per set, it is found that q sets will be sold each month, where q2 + 2 p2 = 41.
a. Find the elasticity of demand for the stereos using implicit differentiation.
b. For a unit price of p = 4 ($400), is the demand elastic, inelastic, or of unit elasticity?
c. Find the number of stereo sets that will maximize revenue (prove your answer).
Respond to this Question
Similar Questions

Math
An appliance store sells three brands of TV sets, brands A, B, and C. The profit per set is $30 for brand A, $50 for brand B, and $60 for brand C. The total warehouse space allotted to all brands is sufficient for 600 sets, and the … 
Math
FeatureShop sells 80 stereos per month at a cost of $600 each. The manager knows that for every $10 price increase there will be one less stereo sold per month. What price will produce the greatest revenue? 
ALGEBRA
The profit made from the sale of tiles is found by subtracting the costs from the revenue. e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation. f. What is the profit made from … 
Calculus
When an electronics store prices a certain brand of stereos at p hundred dollars per set, it is found that q sets will be sold each month, where q2 + 2 p2 = 41. a. Find the elasticity of demand for the stereos using implicit differentiation. … 
Calculus
A manufacture has been selling 1300 television sets a week at $420 each. A market survey indicates that for each $16 rebate offered to a buyer, the number of sets sold will increase by 160 per week. a) Find the price p(x) of each television … 
Math 115
A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates that for each $24 rebate offered to a buyer, the number of sets sold will increase by 240 per week. a) Find the price p(x) of each television … 
math
kate and alan sell stereos. last month kate sold 24 more stereos than alan. together they sold 164. How many stereos did allan sell? 
Finite Math
15 An appliance store sells two brands of televisions. Each Daybrite set sells for $425, and each Noglare set sells for $700. The store’s warehouse capacity for television sets is $400, and new sets are delivered only each month. … 
Math
The total cost of producting x radio sets per day is (1/4x^2 + 35x + 25) dollars. The price per set at which they may be sold is ( 50 1/2x) dollars. What should be the daily output be to obtain the maximum profit? 
Math
Regina buys eggs at the local supermarket. They are sold in different quantities and at different prices. The quantities and prices are shown. Brand A: 6 eggs $1.77 Brand B: 12 eggs $3.75 Brand C: 18 eggs $5.24 Brand D: 24 eggs $7.10 …