For a certain company, the cost function for producing x items is C (x)=30x+100 and the revenue function for selling x items is R(x)=-0.5(x-90)^2+4,050. The maximum capacity of the company is 130 items. 1. Assuming that the company sells all that it produces, what is the profit function? 2. What is the domain of P(x)? 3.  The company can choose to produce either 60 or 70 items. What is their profit for each case and which level of production should they choose? 4.  Why does the company make less profit when producing 10 more units?

Q: 1. The monthly revenue R earned by selling x lamps is R(x)= 120x-0.46x The monthly cost of producing…

A: (a) The given revenue and cost functions are,

Q: The total revenue function for a product is given by R=510x dollars, and the total cost function for…

A:

Q: 8. For the quadratic function f(x)=2x² – 24.x+90 (a) Complete the square to put the equation into…

A: Given query is to find the the vertex form and the minimum value of f.

Q: Given the piecewise function: 4x + 12 { x<-2 - 1<x f(x) = -2x + 6 18. What is the interval of the…

A:

Q: For a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue…

A: For a certain company, the cost function for producing x items is Cx=50x+200 The revenue function…

Q: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?

A:

Q: A researcher at a textbook manufacturing company finds that the revenue is given byR(x)=5x2−40x.What…

A: Calculation:

Q: A cell phone factory has a cost of production C(x) = 150x + 30,000 and a revenue function R(x) =…

A: Break even point is where total revenue equals total cost. Here total cost is given by…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: A construction company has determined its price-demand function for a certain product is given by…

A: A construction company has determined its price-demand function for a certain product(i.e., price…

Q: Assuming that the company sells all that it produces, what is the profit function? P(x)=   . Hint:…

A:

Q: Assuming that the company sells all that it produces, what is the profit function? P(x)=Px=   .…

A:

Q: A product can be produced at a total cost C(x) = 800 + 100x ^ 2 + x ^ 3 dollars , where x is the…

A: Find the profit function P(x) as the difference of the revenue function R(x) and cost function C(x).…

Q: 4) Suppose the cost of producing x items is given by C(x) 4000 - x3 and the revenue made on the sale…

A: Consider the given question,The breakeven point occurs where profit is zero or when revenue equal to…

Q: 4) Suppose that x thousand units of a product will be sold when the price is p(x) = -2x + 31 dollars…

A: Please see the explanation below

Q: a certain company, the cost function for producing x items is C(x)=50x+200 and the revenue function…

A: Cost function for producing x items is given by- C(x)=50x+200 Revenue function for selling x items…

Q: Find the break-even point for the firm whose cost function C and revenue function R are given. C(x)…

A:

Q: For a certain company, the cost function for producing x items is C(x)=40x+100, and the revenue…

A: Given cost function is: Cx=40x+100 Revenue function is: Rx=-0.5x-802+3200 The profit function is…

Q: Find the value/s of x for which y=3x^4-4x^3+1 is maximum?

A: y=3x4-4x3+1 Differentiating with respect to x, we get dydx=34x3-43x2+0=12x3-12x2 Now to find…

Q: A phone manufacturer finds that the cost in Omani Rials f of making x phones per day is given by…

A: A function f(x) will have its minimum value at a point x=a, when the first derivative of the…

Q: x=−10 or x=1,000? The company can choose to produce either 70 or 80 items. What is their profit for…

A: Profit function

Q: Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the…

A:

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function for producing x items is C(x) =40x+100   The revenue function for…

Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: NOTE: Refresh your page if you can't see any equations. . cost and revenue functions are  the…

Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is given…

A:

Q: For a certain company, the cost function for producing x items is C(x)=50x+100 and the revenue…

A: Given  C(x)=50x+100 R(x)=−0.5(x−90)2+4,050. The maximum capacity of the company is 120 items

Q: The cost function of a particular product is C(x) = x – 763.5a? - 46632x + 1338 and the demand…

A:

Q: For a certain company, the cost function for producing x items is C(x)=30x+200 and the revenue…

A: Since we are entitled to answer up to 3 sub-parts, we’ll answer the first 3 as you have not…

Q: 2 If f(x) = 2x- kr has a relative maximum at r = -2, then the value of k is %3D

A: Note :-  If f(x) has relative maximum at x=a then f'(a) =0.

Q: The production function of a competitive firm is described by the equation y = 2.x26x,2. The factor…

A: Given the production function of the competitive firm : y=2x1126x212 The factor prices are p1=$3 and…

Q: Find the maximum profit and the number of units that must be produced and sold in order to yield the…

A:

Q: A fast food restaurant hos a cost Production C(x) = ||x+120 and arevenue function R (x) = 5x,When…

A: Consider the profit function is P(x)=R(x)-C(x) when this function is more than 0 then company makes…

Q: The weekly revenue for a product is given by R(x) = 132x-0.0135x, and the weekly cost is C(x) =…

A:

Q: A firm produces a product that has the production cost function C(x) = 420x + 14,420 and the revenue…

A: The break even point is the point where the revenue of the given production is equal to the cost of…

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A:

Q: 12. Suppose the cost of a product with a quantity of x is C(x) = 2x² - 6x² + 15x, and the income…

A:

Q: A cell phone factory has a cost of production  C(x) = 150x + 10,000  and a revenue function  R(x)…

A: Given  cost of production  c(x)= 150x+10,000 Revenue function  R(x) = 200x

Q: If the total cost function for producing x lamps is C(x) = 360 + 35x + 0.4x2 dollars, producing how…

A:

Q: For a certain company, the cost function for producing x items is C(x)=50x+150 and the revenue…

A: Answer: As per guidelines , i have done only first 3 sub parts :

Q: For a certain company, the cost function for producing æ items is C (x) = 40 x + 200 and the revenue…

A:

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

A: Given, the cost equation is Where x is the number of the piece of equipment used. We have to the…

Q: For a certain company, the cost function for producing x items is C(x)=40x+200 and the revenue…

A: Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: company

A: Please refer to the image below

Q: For a certain company, the cost function for producing x items is C(x)=40x+100 and the revenue…

A: Given that the cost function is Cx=40x+100 and the revenue function is Rx=-0.5x-802+3200.Also the…

Q: 1.) The cost of producing and shipping x squeaky dog toys per month is given by the function C(x) =…

A: Since t=you have posted multiple questions, as per our policy we will answer first question. Please…

Q: is C(x)=30x+200 and the revenue function for selling x items is R(x)=−0.5(x−80)2+3,200. The maximum…

A:

Q: Suppose a company has fixed costs of $32,000 and variable cost per unit of 1/3x + 444 dollars,where…

A: It is given that,

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

A:

Q: suppose that the price per unit in dollars of a cell phone production is modeled by p=$85-0.0125x,…

A: