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The monthly revenue R achieved by selling x wristwatches is figured to be R(x) 85x -...
The monthly revenue Rachieved by seling x wristwatches is figured to be R(x) = 79x -...
The monthly revenue Rachieved by seling x wristwatches is figured to be R(x) = 79x - 0.2x”The monthly cost of selling x wristwatches is C(x) = 2x + 1700 (a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? (b) Profit is given as P(x) = R(x) - CIX). What is the profit function? (c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit? (d) Provide a reasonable...
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x)...
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
The revenue and cost functions for a particular product are given below.
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?
The revenue R received by a company selling x pairs of sunglasses per week is given...
The revenue R received by a company selling x pairs of sunglasses per week is given by the function R(x)=−0.1x2+80x. (a) Find the values of R(13) and R(35). (b) How many pairs of sunglasses must be sold in order for the revenue to be $ 7000 per week? (c) How many pairs of sunglasses must be sold in order for revenue to be $16,000 per week?
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY 2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Us...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY
2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Use a graphing utility to graph y - R(r) and determine the number of TVs which should be sold to maximize revenue. What is the maximum revenue? Why does this amount produce maximum revenue? b. Assume that the cost, in...
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...
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...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2 e-0.55 a. Find the marginal revenue when x = 5 units. b. Use the marginal revenue function to find the value of x that will yield the maximum revenue. C. Graph the revenue function.
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 40x and p(x)= 300 - 500SX S 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company 54 for each set it produces, how many sets should the company...
The monthly revenue Rachieved by seling x wristwatches is figured to be R(x) = 79x - 0.2x”The monthly cost of selling x wristwatches is C(x) = 2x + 1700 (a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? (b) Profit is given as P(x) = R(x) - CIX). What is the profit function? (c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit? (d) Provide a reasonable...
Suppose that the revenue R, in dollars, from selling x cell phones, in hundreds, is R(x) = -1.3x2 + 320x. The cost C, in dollars, from selling x cell phones, in hundreds, is C(x) = 0.03x3 - 3x2 + 75x + 550. (a) Find the profit function, P(x) = R(x)-C(x). (b) Find the profit if x = 21 hundred cell phones are sold. (c) Interpret P(21). (a) P(x)= (Use integers or decimals for any numbers in the expression.) (b) P(21)=$...
The marginal revenue (in thousands of dollars) from the sale of x gadgets is given by the following function. win R'(x) = 4x(x2 + 28,000) a. Find the total revenue function if the revenue from 120 gadgets is $19,222. b. How many gadgets must be sold for a revenue of at least $35,000? a. The total revenue function is R(x) = given that the revenue from 120 gadgets is $19,222. (Round to the nearest integer as needed.) b. How many...
SHOW ALL YOUR WORK AND WRITE DOWN VERY NEATLY
2. The revenue R, in thousands of dollars, from producing and selling σ hundred LCD TVs is given by R(a)--5z? + 35a2 + 155z for 0 < π < 10.07 a. Use a graphing utility to graph y - R(r) and determine the number of TVs which should be sold to maximize revenue. What is the maximum revenue? Why does this amount produce maximum revenue? b. Assume that the cost, in...
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...
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...
In a monopoly market the revenue from selling x units is given by R(x) = 10.5x2 e-0.55 a. Find the marginal revenue when x = 5 units. b. Use the marginal revenue function to find the value of x that will yield the maximum revenue. C. Graph the revenue function.
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 40x and p(x)= 300 - 500SX S 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company 54 for each set it produces, how many sets should the company...
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