14. Suppose that when the price of a certain commodity is p dollars per unit, then...
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...
When x units of a certain luxury commodity are produced, they can all be sold at a price of p thousand dollars per unit, where p = -3x + 300. Part 1 out of 2 a. Express the revenue function R (x) as a function of x. How much revenue is obtained when x = 14 units are produced? R(x) = R (14) = dollars CHECK NEXT
Average Price of a Commodity The price of a certain commodity in dollars per unit at time t (measured in weeks) is given by p = 17 - 3e-2t - 5e-t/3. What is the average price of the commodity over the 5-week period from (t = 0) to (t = 5)? (Round your answer to the nearest cent.) per unit
14) The demand equation for a monopolist's product is p = 200 - 0.989, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c= 0.02q2 + 2q + 8000, find the level of production at which profit is maximized. 15) The demand function for a monopolist's product is p = 100 – 39, where p is the price per unit (in dollars)...
At a unit price of $768, the quantity demanded of a certain commodity is 73 pounds. If the unit price increases to $844, the quantity demanded decreases by 19 pounds. Find the demand equation (assuming it is linear) where p is the unit price and x is the quantity demanded for this commodity in pounds. p = ? At what price are no consumers willing to buy this commodity? $ According to the above model, how many pounds of this...
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...
Q 1) each unit of a certain commodity costs p = 43x + 96 cents when x units of the commodity are produced. if all units are sold at this price, express the revenue derived from the sales as a function of x. Q 2) two car rental agencies are competing. one agency rents cars for $50 per day and $.30 a mile; the other agency rents cars for $30 per day and $.50 a mile. For a 9 day...
The demand function for a certain commodity is given by p 100e2. (p is the price per unit and q is the number of units.) (a) At what price per unit will the quantity demanded equal 4 units? (Round your answer to the nearest cent.) (b) If the price is $2.95 per unit, how many units will be demanded, to the nearest unit? units
23. The price, in dollars per unit, that consumers are willing to pay for the Trailmaster mountain bicycle is modeled by average p-980 - 90 In x, where x is in thousands of units. a. What price corresponds to a demand for 150,000 units? b. How many units will consumers buy at a price of $400 per bicycle?
5. Suppose that X the price of a certain commodity (in dollars), and Y, its total sales (in 10000 units), are random variables whose joint probability distribution is given by the following going PDF 5xe-rV :0.20< <0.40,y>0 x.y(x,y)ootherwise Use the CDF method to find and identify the distribution of V-XY, the total amount of money (in S10000 units) that is spent on this commodity