The demand for q units of a product depends on the price p (in dollars) according...
8. DETAILS HARMATHAPBR1 9.4.011. Y NOTES KOUR TEACHER The demand for a unit of a product depends on the price in dor) cording to - 1. for Find and explain the meaning of the instantaneous we of change of demand with respect to price when the price is as follows (a) $9 O price increases by 31, the demand will drop pproximately 2 units If price increases by the demand will drop approximately 1 O price decreases by 51, the...
Suppose that the supply of x units of a product at price p dollars per unit is given by the following. p = 30 + 60 In(8x + 2) (a) Find the rate of change of supply price with respect to the number of units supplied. dp dx = (b) Find the rate of change of supply price when the number of units is 31. $ (c) Approximate the price increase associated with the number of units supplied changing from...
2. (10 points) The demand of a product v depends on ts own price P). and the price of another product x (P.). The price elasticity of yvise-a.s, and ne cross-price elastiety with respect to X is o. (a) Are X and Y substitutes or complements? (b) Suppose now P, increases by 2%, and P" decreases by 5%. Will the quantity demanded of V increase or decrease? By what percent? 3. (20 points) The demand function of cigarettes is linear...
In this problem, p is in dollars and q is the number of units. (a) Find the elasticity of the demand function 2p + 39 = 216 at the price p = 12. (b) How will a price increase affect total revenue? O Since the demand is elastic, an increase in price will decrease the total revenue. O Since the demand is unitary, there will be no change in the revenue with a price increase. Since the demand is elastic,...
5) When the price of a certain commodity is p dollars per unit, customers demand r hundred units of the commodity, where How fast is the demand r changing with respect to time when the price is $6 per unit and decreasing at the rate of 25 cents per month? 1 6) The output at a certain plant is Q-0.09r20.12ry+0.04y2 units per day, where z is the number of hours of skilled labor used and y is the number of...
Q2: The demand for a single-price monopolist’s product is Q = 60 – 2P where Q is measured in units and P is measured in $/unit. a) At which price is the demand for the monopolist’s product unit elastic? b) At which prices is the demand for the monopolist’s product elastic? c) At which prices is demand for the monopolist’s product inelastic? d) Suppose the monopoly is currently producing and selling 50 units of output. What price must the monopoly...
The demand function for a product is p= 108 - 0.2x where p is the price per unit(in dollars) and x is the number of units. a. Use differentials to approximate the change in revenue as sales increase from 20 units to 21 units. Compare this the actual change in revenue. b. Repeat step (a) when sales increase from 40 units to 41 units.
of 2. (30 points) The demand of a product y depends on its own price UP ), and the price another product X (P. The price elasticity of Yis e,ー3.5, and the cross-price elasticity of Y with respect to X is e0.8. (a) Are X and Y substitutes or complements? lete (b) Suppose now P, increases by 2%, and r, decreases by 5%. Will the quantity demanded of Y increase or decrease? By what percent? 3. (20 points) The demand...
If the unit price is $p, demand of a product is q thousand units where q^2+5*p*q+p^2=60. What is the price elasticity of demand when the unit price is $2?
Just need help with 41! 41: A) What is the rate of change of price with respect to the quantity demanded when q=49? B) Interpret your answer. 37. Revenue The revenue from the sale of a product is R = 1500x + 3000(2x + 3)-1 - 1000 dollars where x is the number of units sold. Find the marginal revenue when 100 units are sold. Interpret your result. 38. Revenue The revenue from the sale of x units of a...