The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = −25p2 + 1600p where p is the price per unit (in dollars). (a) Find the revenues when the price per unit is $20, $25, and $30. R($20)      $  thousand R($25)      $  thousand R($30)     $  thousand (b) Find the unit price that will yield a maximum revenue. $  per unit What is the maximum revenue? $  thousand Explain your results.

Q: The monthly revenue for printer ink for a large office supply store is R(x)=-x^2+12x+13 where X is…

A: Revenue R = - x2 + 12x + 13

Q: f(x)=3x2+18x-2 What is the value? and does it have a minimum or maximum value?

A: The given function is: f(x)=3x2+18x-2

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A:

Q: many trees per acre will maximize the profit?

A: Use of derivatives,

Q: A firm can produce only 3200 units per month. The monthly total cost is given by C(x) = 500 + 200x…

A: The total cost function is given as  And the revenue function is given as Then the profit function…

Q: The monthly profit from the sale of x units of a product is P = 80x-0.042-12000 dollars. (a) What…

A: Here is the solution of the given problem. Maximum Profit Function.

Q: The total revenue (in hundreds of dollars) from the sale of x stoves and y dishwashers is…

A:

Q: the total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillow is…

A: To find the following parts, 1). The number of pillows that must be sold to maximize the profit. 2).…

Q: If the profit function for a product is P(x) = 1600x + 110x - x 156,000 dollars, selling how many…

A: The profit function is P(x)=1600x+110x2-x3-156000

Q: A company manufactures and sells x cellphones per week. The weekly​ price-demand and cost equations…

A: This question is related to price and cost functions, we will solve it using given information.

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A: The revenue function R(x,y) is a function in two variables. Hence the maximum revenue will be at a…

Q: The total costs for a company are given by C(x) = 2000 + x 2 and the total revenues are given by…

A: Given: The cost function Cx=2000+x2 and the revenue function is Rx=90x. Find the break-even points…

Q: A firm produces a commodity and receives $100 for each unit sold. The cost of producing and selling…

A: Given:

Q: A manufacturer of lighting fixtures has daily production costs of C = 800 - 30x +0.75x², where C is…

A: To find out the production units required to yield minimum cost.

Q: A firm can produce 500 units per week. If its total cost function is C = 600 + 1200x dollars and its…

A: Explained below...

Q: Thando furniture manufacturer, determines that in order to sell x chairs, the price per chair in…

A:

Q: The profit for a product can be described by the function ​P(x)=212x−5500−x2 ​dollars, where x is…

A: Given P(x) = 212x-5500-x2 d/dx P(x) = 212-0-2x = 0 2x-212 = 0 2x = 212 x = 106

Q: y = -5x^3+ 135x^2-675x + 107, find minimum, maximum,a nd point of inflection

A:

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x…

A: The weekly revenue from the production and sale of x units of grain is given by- R(x)=237x-x2 The…

Q: A company sells at 500 pesos per item everything it produces of certain merchandise. If x items are…

A: Company sells per item at 500 pesos. and we have total cost of production and sales are given by…

Q: The profit (P) for a company is given by the equation P=-0.02x^2 + 1.40x + 1500, where x is the…

A: Consider the given profit function: P=-0.02x2+1.40x+1500 Where  x is the number of units sold Here,…

Q: A company manufactures a product used in the computer industry. The unit price, p (in thousands of…

A: Let p, x and R represent the price, quantity and revenue, respectively. The following formulae can…

Q: If the profit function for a product is P(x) = 4000x + 95x² – x³ – 208,000 dollars, selling how many…

A:

Q: the profit function for a product is P(x) = 1800x + 75x2 − x3 − 54,000 dollars, selling how many…

A: GivenP(x) = 1800x + 75x2 - x3 - 54,000To find number of items that miximize the profit

Q: A retail store has determined that the daily profit for the store is related to the number of…

A: for maximize profit put p'(x)=0.

Q: An editor has been allotted $60,000 to spend on the development and promotion of a new book. It is…

A:

Q: The annual total revenue for a product is given by R(x) = 10,000x – 5x2 dollars, where x is the…

A:

Q: The Maximum point of y = 9-x² x²-4

A:

Q: An international organization must decide how to spend the $2,200,000 they have been allotted for…

A:

Q: A soft-drink vendor at a popular beach analyzes his sales records and finds that if he sells x cans…

A: We have given,A soft-drink vendor sells x cans of soda pop in one dayHis profit (in dollars) is…

Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

A:

Q: revenue

A:

Q: The estimated monthly profit realizable by Hanover Jones Inc. for manufacturing and selling x units…

A:

Q: The profit P (in dollars) for a company that produces antivirus and system utilities software is…

A: Calculate the derivative for P i.e. P’(x).

Q: The daily revenue R achieved by selling x boxes of candy is figured to be R(x) = 9.5x - 0.04x2 . The…

A: Given the daily revenue R(x)=9.5x-0.04x2And the daily cost C(x)=1.25x+250

Q: use quadratic functions. Suppose that the cost function for a particular item is given by the…

A: We have to use quadratic functions. The cost function for a particular item is given by the…

Q: The total profit P(x) (in thousands of dollars) from the sale of x hundred thousand pillows is…

A:

Q: The total cost of production of x units of a product is given by C = x2 - 50x + 725 Find the level…

A:

Q: 3. The total profit (in thousands of dollars) from the sale ofx hundred thousand automobile tires is…

A: Explanation of the answer is as follows

Q: The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per…

A:

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profits (in dollars)…

A: For maximum profit we will have dP/dx=0 From there solve for x. x=88

Q: A wholesaler of appliances finds that she can sell (1500 − x) flat-screen television sets each week…

A: The maximum revenue is -b/2a Where b is the coefficient of X  And a is the coefficient of x2

Q: A wholesaler of appliances finds that she can sell  (1100 − x)  flat-screen television sets each…

A:

Q: The total revenue​ (in hundreds of​ dollars) from the sale of x spas and y solar heaters is…

A:

Q: A tour operator believes that the profit P, in dollars, from selling x tickets is given by…

A:

Q: A model rocket is launched from a platform and its height is modeled by h(t)=-4x^2+56x+10, where t…

A: Here, we have given h(t)= -4x2+56x+10

Q: What is the optimal value of the quadratic relation y = - 5 x^2 + 10?

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.