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Find the maximum profit and the number of units that must be produced and sold in...
10&11 10) Find the number of units that must be produced and sold in order to...
10&11
10) Find the number of units that must be produced and sold in order to yield the maximum profit, give following equations for revenue and cost: R(x) = 3x C(x) = 0.001x2 +0.7x + 10. A) 1150 units B) 1850 units C) 3700 units D) 2300 units 11) A bookstore has an annual demand for 28,000 copies of a best-selling book. It costs $0.50 to store one copy for one year, and it costs $65 to place an order....
A one product company finds that its profit. P. in millions of dollars, is given by...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
To receive full credit you must show all work. You are allowed to use an approved...
To receive full credit you must show all work. You are allowed to use an approved graphing calculator unless otherwise indicated. 1. (4pts) Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost. C(x), of producing x units are in dollars. R(x) = 5x and C(x) = 0.001x2 + 1.2x + 60. What is the production level for the maximum profit?
Find the rate of change of total revenue, cost, and profit with respect to time. Assume...
Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 50x -0.5xC(x) = 6x + 10, when x = 40 and dx/dt = 15 units per day The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day.
plz help part A part b part c Find the number of units x that produces...
plz
help
part A
part b
part c
Find the number of units x that produces a maximum revenue R. 1,000,000x 0.02x2 + 450 units Find the number of units x that produces the minimum average cost. (Round your answer to the nearest whole unit.) C = 1000x - x2900 - X units The Widgets Unlimited Company analyzes its cost and pricing for x units of production (volume). They build a model of the demand (pricing) function in US $:...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
The total revenue function for a certain product is given by The total revenue function for...
The total revenue function for a certain product is given by
The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
Suppose a company has fixed costs of $51,200 and variable cost per unit of 1 3...
Suppose a company has fixed costs of $51,200 and variable cost per unit of 1 3 x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 1965 − 2 3 x dollars per unit. (a) Find the break-even points. (Enter your answers as a comma-separated list.) x = (b) Find the maximum revenue. (Round your answer to the nearest cent.) $ (c) Form the profit function...
Silver Scooter Inc. finds that it costs $100 to produce each motorized scooter and that the...
Silver Scooter Inc. finds that it costs $100 to produce each motorized scooter and that the fixed costs are $1,000. The price is given by p = 700 - X, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company should produce and the price it should charge to maximize profit. Find the maximum profit How many scooters should the company produce to maximize profit? scooters What...
When x units of a certain luxury commodity are produced, they can all be sold at...
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
10&11
10) Find the number of units that must be produced and sold in order to yield the maximum profit, give following equations for revenue and cost: R(x) = 3x C(x) = 0.001x2 +0.7x + 10. A) 1150 units B) 1850 units C) 3700 units D) 2300 units 11) A bookstore has an annual demand for 28,000 copies of a best-selling book. It costs $0.50 to store one copy for one year, and it costs $65 to place an order....
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
To receive full credit you must show all work. You are allowed to use an approved graphing calculator unless otherwise indicated. 1. (4pts) Find the maximum profit and the number of units that must be produced and sold in order to yield the maximum profit. Assume that revenue, R(x), and cost. C(x), of producing x units are in dollars. R(x) = 5x and C(x) = 0.001x2 + 1.2x + 60. What is the production level for the maximum profit?
Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x) and C(x) are in dollars. R(x) = 50x -0.5xC(x) = 6x + 10, when x = 40 and dx/dt = 15 units per day The rate of change of total revenue is $ per day. The rate of change of total cost is $ per day. The rate of change of total profit is $ per day.
plz
help
part A
part b
part c
Find the number of units x that produces a maximum revenue R. 1,000,000x 0.02x2 + 450 units Find the number of units x that produces the minimum average cost. (Round your answer to the nearest whole unit.) C = 1000x - x2900 - X units The Widgets Unlimited Company analyzes its cost and pricing for x units of production (volume). They build a model of the demand (pricing) function in US $:...
D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item, and S(x) is the price, in dollars per unit, that producers are willing to accept for x units. Find (a) the equilibrium point, (b) the consumer surplus at the equilibrium point, and (c) the producer surplus at the equilibrium point. D(x)- (x-82, s(x)-x2+4x+4 (a) What are the coordinates of the equilibrium point? (Type an ordered pair.) (b) What is the...
The total revenue function for a certain product is given by
The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
Silver Scooter Inc. finds that it costs $100 to produce each motorized scooter and that the fixed costs are $1,000. The price is given by p = 700 - X, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company should produce and the price it should charge to maximize profit. Find the maximum profit How many scooters should the company produce to maximize profit? scooters What...
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
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