A baseball team plays in a stadium that holds 52,000 spectators. With the ticket price at $10, the average attendance at recent games has been 21,000. A market survey indicates that for every dollar the ticket price is lowered, attendance increases by 3000. (a) Find a function that models the revenue in terms of ticket price. (Let x represent the price of a ticket and R represent the revenue.) R(x) =     (b) Find the price that maximizes revenue from ticket sales. $ (c) What ticket price is so high that no revenue is generated?

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

A: Given: Hotel determines that 145  rooms will be rented if it sets the price of the room to be $150…

Q: A baseball team plays in he stadium that holds 62000 spectators. With the ticket price at $11 the…

A: Given that - A baseball team plays in he stadium that holds 62000 spectators. With the ticket price…

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 x +…

A: To find the maximum revenue and items to be sold to obtain maximum revenue.

Q: A manufacturer estimates that its product can be produced at a total cost of  C(x) = 55,000 + 100x +…

A:

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function p = − 1…

A:

Q: A theater owner charges $5 per ticket and sells 250 tickets. By checking the prices and number of…

A: x=250-10(x-5) y=250-10(x-5)

Q: It costs the American Automobile Company $8,000 to produce each automobile, and fixed costs (rent…

A:

Q: A restaurant advertises that it will provide beer, pizza, and wings for $50 per person at a Super…

A: Revenue of the transaction is difference in Selling price and cost price. For selling price greater…

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales,…

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the…

Q: If the total revenue function for a computer is R(x) = 1200x – 32x2 – x3, find the level of sales,…

A: Let's find.

Q: A​ T-shirt manufacturer is planning to expand its workforce. It estimates that the number of​…

A: A function T(x) is givenT(x)=-0.25x4+x3,       0≤x≤3

Q: uppose that an appliance maker determines that in order to sell q appliances, the price per appli-…

A: According to our guideline we can only answer first three subparts.

Q: If the total revenue function for a computer is R(x) = 1800x – 23x2 - x³, find the level of sales,…

A:

Q: A manufacturer has been selling gadgets at a price of $50 each, and at this price, customers have…

A:

Q: A baseball team plays in he stadium that holds 56000 spectators. With the ticket price at $12 the…

A:

Q: Suppose that the selling price p of an item for the quantity x sold is given by the function 1 -x +…

A: Topic:- algebra

Q: The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of…

A: From the given profit function:   px=-4x2+24000x-100,000 dollars   Now differentiate the function…

Q: A manufacture has been selling 1400 television sets a week at $480 each. A market survey indicates…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 300 − 0.1x dollars per…

A: Given,          Price per unit  p=300-0.1xand  the Total production cost forf x units is…

Q: A baseball team plays in he stadium that holds 58000 spectators. With the ticket price at $11 the…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 2500-0.5x dollars per…

A: Given: p = 2500 - 0.5x  C(x) = 75000+625x+0.125x2

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A:

Q: A housing complex has 100 two-bedroom units. The monthly profit (in dollars) realized from renting…

A:

Q: If the total revenue function for a computer is R(x) = 2400x − 14x2 − x3, find the level of sales,…

A: To find the number of sales x, that maximize the revenue

Q: A fertilizer producer finds that it can sell its product at a price of p = 500 – 0.1x dollars per…

A: Given:       Price p=500-0.1x      Revenue =price times quantity sold         R(x)=500x-0.1x2  cost…

Q: Financial analysts in a company that manufactures ovens arrived at the following daily cost equation…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A: We need to find units to maximize profit.

Q: The cost function for producing x items is C(x) =30,000 + 150x -0.10x2 The revenue function is…

A: Profit=Revenue-CostP(x)=R(x)-C(x)P(x)=800x -0.6x2-30,000 + 150x -0.10x2P(x)=800x -0.6x2-30,000 -…

Q: If the total revenue function for a computer is R(x) = 2600x − 11x^2 − x^3, find the level of sales,…

A:

Q: Suppose that the selling price pp of an item for the quantity xx sold is given by the function…

A:

Q: The demand function for a sofa is given by p= D(x) = 19.2 - 0.2x dollars. Find the level of…

A: We have to find level of production at which revenue will be maximum.

Q: Suppose that the selling price p of an item for the quantity a sold is given by the function 1 p =…

A: Given,        The selling price p of an item for the quantity x sold is given by the function :…

Q: The marketing department at XYZ Company has found that, when Product ABC is sold at a price of p…

A: Given p = cost of the item x = sale of the item costing 'p'.  x = 280-14p R = Revenue, xp   To find:…

Q: Suppose that a sporting contest at Adelaide oval, which has capacity for 50000 spectators, draws an…

A: Solution :-

Q: The manufacturer of a CD player has found that the revenue R (in dollars) is  R(p)= -5p^2+1120p,…

A: We have given the revenue function R(p)= -5p^2+1120p

Q: A farmer wants to enclose a rectangular area with 400 feet of fence. In order to maximize the area…

A:

Q: An automobile dealer can sell 12 cars per day at a price of $15,000. He estimates that for each $300…

A:

Q: The manufacturing laundry sinks has fixed costs if $100 per day but has total costs of $2,500 per…

A:

Q: A fertilizer producer finds that it can sell its product at a price of p = 1000 – 0.2x dollars per…

A:

Q: A cosmetics company is planning the introduction and promotion of a new lipstick line. The marketing…

A: To find the price at which the revenue is maximized

Q: commodity has a demand function modeled byp = 80 − 0.2x and a total cost function modeled byC = 30x…

A:

Q: If the total revenue function for a computer is R(x) = 2600x – 11x2 – x3, find the level of sales,…

A: Given,The total revenue function for a computer isR(x)=2600x-11x2-x3

Q: The International Silver Strings Submarine Band holds a bake sale each year to fund their trip to…

A: This question is related to Maxima problem.

Q: A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The management wants…

A: Given that A 60 room hotel is filled to capacity every night at a rate of​ $40 per room. The…

Q: Given f(x) =x³ – 81x + 10, use rates of change to verify that there is an optimal value at x = -9.…

A:

Q: 4) If the total revenue function for a computer is R(x) = 45x + 3x? – x3 a) Find the level of sales,…

A:

Q: A hardware store can obtain widgets at a cost of $7 each. The store has been selling the widgets for…

A:

Q: A baseball team plays in a stadium that holds 68000 spectators. With the ticket price at $8 the…

A: a) Given:         Let x be the average attendance               y be the price    The two points are…

Q: If the total revenue function for a computer is R(x) = 1800x - 23x2 - x³, find the level of sales,…

A:

Q: The cost function for producing x items is C(x) =30,000 + 150x - 0.10x2 The revenue function is…

A: We find R'(x) using the power rule R(x) = 800x - 0.6x2 R'(x)=800(1)-0.6(2x) R'(x)=800-1.2x