Let p=(18-5x)2 for 0≤ x ≤3 be the price at which x hundred units of a certain commodity will be sold, and let R(x)=xp(x) be the revenue obtained from the sale of the x units. For what level of production is revenue maximized?

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We use partial differentiation technique to maximize the revenue. The solution is explained below.

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: he manager of a 100 unit apartment complex is trying to decide what to charge for rent. Experience…

A: Given that, The manager of a 100 unit apartment complex is trying to decide what to charge for rent.…

Q: C=40x-0.02x²-600.

A: C=40x-0.02x2-600 Differentiate the provided cost function with respect to x.…

Q: 4. JACEM makes and sells two competing products, burgers and pizza, that cost $C, and $C, per unit,…

A: Let x units of burger and y units of pizza be sold Given: JACEM sells burger and pizza at the cost…

Q: ood morning, may you help me please. Thank you If a company has total costs C(x) = 16,000 +…

A: Given that, Total cost C(x) = 16,000 + 25x + 0.2x2 Total Revenue R(x) = 305x − 0.8x2, We have to…

Q: An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit.…

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Q: Suppose that the manufacturer of a gas clothes dryer has found​ that, when the unit price is p​…

A: Revenue R​ (in dollars) is  R(p)=-9p2+27,00pWe need to find the unit price and maximum revenue.Below…

Q: The profit equation for for Scotty’s Socks is given by P (q) = (2/3)q3 −(q^2) − 4q + 8, where q is…

A: Given the equation of profitP(q)=23q3−q2−4q+8

Q: The manufacturer of a CD player has found that the revenue R (in dollars) is R(p)=-5p^2+1,920p,when…

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Q: 5 x 500, p 4 - In(x) where x is the number of hot dogs (in thousands) that can be sold during one…

A: Given a function

Q: A company manufactures running shoes and basketball shoes. The total revenue (in thousands of…

A: We have to maximize revenue.

Q: 1. Maximize: Z = 50X, + 100X; + 150X, Subject to: 2X, + 2X2 s 200 3X, s 150 4X, + 4X3 5 600 X,2 0,…

A: Now we will find the solution using Simplex method

Q: 11. Suppose that a firm that uses 2 inputs has the production function f(x₁, x₂) = 12xx and faces…

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Q: Maximize P=5x1+6x2+4x3   Subject to: x1+2x2≤6 5x1+3x2+3x3≤24 x1,x2,x3≥0

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Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A: Graphical method: -  Step 1: - First we solve the inequality equation, and find the coordinates.…

Q: the profit function for a firm is given by  P(x) = −1700 + 180x − x2  and limitations on space…

A: For Break-Even points ,put profit function =0

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Giventheprice-demandfunction p(x)=−2x+75, and Total cost function C (x) = 4x +165 . Find the…

A: Given: Price-demand function p(x)=−2x+75, and Total cost function C (x) = 4x +165. Let us plot the…

Q: 3. (6 points) Suppose that p(x) = -x°+x²-6x represents the profit (in millions of dollars) of Link…

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Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

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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: 1. The Jalopy Car Rental can rent 95 cars per day at a rate of $12 per day. For each $1 decrease n…

A: Given query is to find the maximum revenue.

Q: A firms production function is Q(L) = 15L2 - 1L3 , where output (Q) is a function of a single input…

A: A firm's production function is Q(L) = 15L2 - 1L3 , where the output (Q) is a function of single…

Q: -글x + y + 40 N = maximum N = 43 minimum N = 40,5 y 5- 3 y = x -1 1 2 3 4 5 -1F 2)

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Q: A company has $10,990 available per month for advertising. Newspaper ads cost $140 each and can't…

A: Given: A company has $10,990 available per month for advertising. Newspaper ads cost =  $140 each…

Q: A company has $12,410 available per month for advertising. Newspaper ads cost $250 each and can't…

A: Given: The amount available per month for advertising = $12,410 Newspaper ads cost = $250 each Radio…

Q: Maximize z=14x, + 3x2 subject to: 7x, + 3x, 58 X1 +3x, 54 X, 20, X2 2 0. with

A: We will be using the simplex method to solve the following system.

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having…

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Q: C(x)=25x+2200represents the total cost function, and R(x)=50x represents the total revenue function.…

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Q: 1. When a company prices its training seminar at $395 per person, 1,010 people will attend. For each…

A: given initial condition as:when price per person i.e. x = $395then revenue R(x) = 395*1010 Now from…

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

A: We have given the cost of production of units at first location and second location is   C1=…

Q: A corporation manufactures candles at two locations. The cost of producing x1 units at location 1 is…

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Q: Q2// Find the optimal point from the :mathematical model (by Big-M methods) Max Z-150 x +110x+280 x3…

A: We can solve this using Big-M methods

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

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Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

Q: The sum of the ages of Mylyn and Rhandale is less than or equal to 67. Mylyn is 11 years younger…

A: Topic:- algebra

Q: The profit function for a set of two electronics products can be expressed by the following…

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Q: A company produces two products in the amount x andy and the respective prices Px and Px. The two…

A: A  function f(x,y)f has a relative maximum at the point (a,b) if  f(x,y)≤f(a,b) for  for all…

Q: 1. The cost, in dollars, of printing x calculator instruction manuals is C(x) = 15x + 40 , and the…

A: Given cost function ;   C(x)=15x +40 Revenue  function ; R(x)=35x-145

Q: A corporation manufactures candles at two locations. The cost of producing x₁ units at location 1 is…

A: critical point ( maximum ,minimum or saddle point ) of a function occur accordingly           fx (…

Q: Maximize P=3x1+4x2−5x3, Subject to: 2x1−3x2+2x3 ≤4 x1+2x2+4x3 ≤8 x2−x3 ≤6 x1,x2,x3 ≥0   and give…

A: Given Maximize P= 3x1+4x2-5x3 Subject to: 2x1-3x2+2x3 ≤4 x1+2x2 +4x3 ≤8 x2-x3  ≤6 x1,x2 ,x3 ≥0

Q: Maximize f(x,,x,)= 24x, – x' +10x, – x %3D subject to *; 58 X, 54 x, 2 0, x, 20 and

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Q: Mr. Qureshi has decided to open a sushi platter restaurant. His supplier charges him $6 for each…

A: To find the price of each sushi platter to maximize the profit.

Q: If the profit function for a firm is given by  P(x) = −3800 + 210x − x2  and limitations on space…

A: According to the question,  Profit function for a firm is given by equation: P(x) = −3800 + 210x −…

Q: Maximize Subject to · P= 30x +4082 2x₁+x₂ ≤ 30 X₁ + X₂ ≤21 *₁+2x₂ ≤ 36 X₁ X₂ 20

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Q: The profit in dollars from the sale of x expensive watches is P(x) = 0.02x - 4x + 4x.6 - 4900. Find…

A: We know that Marginal profit is the derivative of the profit function.

Q: write the dual to the following  maximize Z=3x1+5x2+4x3 subject to 2x1+x2+4x3/ 0

A: