2) A retailer is selling HDMI cables with ethernet and 3D support. It can sell 180 every month at a unit price of $14.00. For each $4.00 increase in price, it sells 20 fewer cables. Suppose the cost function is C(x) = 1000+ 8x. Find the production level so that the profit maximized.

Q: The manager of a 100-unit apartment complex knows from experience that all units will be occupied if…

A: Given Information -  If the rent is $500 then all 100 units apartment of complex will be occupied.…

Q: The Builders Company can produce up to 200 tiles per week. If the weekly cost function is…

A:

Q: 11) If the cost function is given by C(x) = - 6x + 400, find the number of units that will minimize…

A: C(x)=x22-6x+400

Q: An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 8% and the mutual fund…

A: We have to find how much should be invested in the mutual fund to maximize the return.

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: The Penn State Math Club has determined that in order to successfully tutor x Math 110 students in…

A:

Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

A:

Q: (a) Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size…

A: Given (a) Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for…

Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

A:

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

A:

Q: A small theater has a seating capacity of 2,000. When the ticket price is $30, attendance is 1,500.…

A: Given that: Seating capacity of theatre = 2000When ticket price is $30, attendance =1500.When price…

Q: If, in a monopoly market, the demand function for a product is p = 150 – 0.20x and the revenue…

A:

Q: If the total cost function for a product is  C(x) = 150(0.02x + 6)3 dollars,  where x represents…

A: Now , we will find the minimum average cost per hundred units .

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

A:

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

A: Answer is mentioned below

Q: A company sell the car batteries for $105 each. They paid $2500 for a licensing fee and will buy…

A:

Q: A small theater has a seating capacity of 2,000. When the ticket price is $30, attendance is 1,500.…

A:

Q: 2. A fertilizer producer finds that it can sell its product at a price of p = 300 -0.1.x dollars per…

A:

Q: A firm can produce 400 units per week. If its total cost function is C = 300 + 1400x dollars and its…

A: Given Data: The number of units produced per week is: n=400 units per week The total cost function…

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

A:

Q: If, in a monopoly market, the demand for a product is p = 175 - 0.50x and the revenue function is R…

A: Given that, the demand price of a product, p=175-0.5x We know that, revenue function, Rx=px   ,…

Q: Given the given cost function C(x)=8200+670x+1.5x2C(x)=8200+670x+1.5x2 and the demand function…

A:

Q: A manufacturer of lightweight tents makes two models whose specifications are given in the following…

A: Let the x denotes the number of Model A lightweight tens and y denotes the number of Model B…

Q: Suppose that a manufacturer produces two brands of a product, brand 1 and brand 2. Suppose the…

A: Consider that a manufacturer produces two brands of a product, brand 1 and brand 2. The demand for…

Q: If, in a monopoly market, the demand function for a product is p = 150 − 0.10x and the revenue…

A: This is a problem related to maxima and minima of the function. Based on the general formula and…

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: Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is…

A: How many 750ml bottles of dish washing liquid should Teddy J produceper month if he wishes to…

Q: If C(x)=16,000 + 500x - 1.6x + 0.004x' is the cost function and p(x)=1700 – 7.x is the demand…

A:

Q: Now suppose in a competitive market the demand function is p+1200-2x and the supply function is p…

A: Suppose  demand function is p=1200-2x and the supply function is p=200+2x. let the  firms average…

Q: Your college newspaper, The Collegiate Investigator, has fixed production costs of $76 per edition…

A:

Q: Teddy J is a manufacturer of dish washing liquid . If his monthly demand function for 750ml size is…

A: Given demand function q=4000-250p  and the cost function C(q)= 500+0.2q So, Profit…

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: 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: An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 6% and the mutual fund…

A: Let x be the amount invested in CD and let $y be the amount invested in mutual fund.It is given that…

Q: A commodity has a demand function modeled by  p = 25 − 0.5x, and a total cost function modeled by C…

A: The demand function is given by p = 25-0.5x…

Q: If the total revenue and total cost (in dollars) are given by R(x) = 5x – 0.003x² - C(x) = 300 +…

A:

Q: National Business Machines manufactures two models of portable printers: A and B. Each model A costs…

A:

Q: 4000-250p and his total cost function is C (q) = 500 + 0.2q. How many 750 ml bottles of dish…

A:

Q: c) What is the loss the company incurs when it tries to maximize sales (that is, produce the maximum…

A: Find out the loss the company when it tries to maximize the sales.

Q: Max's total profit (in dollars) from manufacturing and selling x units of their model M loudspeaker…

A: Answer

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: 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: The annual fixed costs for a plant are $100,000, and the variable costs are $140,000 at 70%…

A: Given: Fixed cost = $100,000            Variable cost = $140,000             Net sales = $280,000

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: A manufacturer has been selling 1000 flat-screen TVs aweek at $450 each. A market survey indicates…

A:

Q: If, in a monopoly market, the demand function for a product is  p = 130 − 0.10x  and the revenue…

A:

Q: An investor has $75,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

A: This question can be solved by applying the concept of linear programming.

Q: Suppose that the revenue in selling x tables is equal to 200x – 0.25x“ dollars, and the cost of…

A: Here is the solution:

Q: A manufacturer of lightweight tents makes two models whose specifications are given in the following…

A: A manufacturer of lightweight tents makes two models whose specifications are given in the following…

Q: 3. Suppose that the revenue in selling r tables is equal to 200x – 0.25x2 dollars, and producing a…

A: