Suppose a firm's revenue function is given as R(Q) = 1200Q- Q? and their cost function is C(Q) = Q3 - 61.25Q2 + 1528.5Q + 2000. What level of Q will maximize the firm's proft , π( Q)?.

Q: A fixed cost of $50 thousand was incurred in setting up an operation. At time t months thereafter,…

A: Given : A fixed cost of $50 thousand was incurred in setting up an operation. At time t months, the…

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by 3 L(x,y) = x²…

A: We will use partial derivative to find x and y.

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2.5x2 + 75x +…

A: Given  Cx = 2.5x2+75x+25000

Q: Find the marginal profit function if cost and revenue are given by C(x)= 158 + 0.9x and R(x)= 6x…

A: We have to find the marginal profit if cost and revenue are given by C(x)=158+0.9x and…

Q: 2. a.) What comhination of goods rand y should a firm produce to minimize costs when the joint cost…

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Q: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

A: person in a boat is 24 km from a shore and wishes to reach a point 20 km down shore (from a point…

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

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 240 +0.6x and R(x) =…

A: Recall: Profit Function, P(x)=R(x)-C(x) ; where , C(x) is the cost function and R(x) is the Revenue…

Q: Assume that it costs a manufacturer approximately C(x) = 1,152,000 + 340x + 0.0005x2 dollars to…

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Q: Assume that it costs a manufacturer approximately   C(x) = 1,104,500 + 340x + 0.0005x2   dollars to…

A: Cost for x gaming systems is Cx=1104500+340x+0.0005x2. So Cost for manufacturing one gaming system…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 150 + 0.5x and R(x) = 2x -…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 154 + 0.3x and R(x) = 2x–…

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Q: A 310-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

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Q: What is the critical point of the total cost function TC = Q3-6Q2 – 640Q? 640Q ? %3D 1/3

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Q: Suppose a company has fixed costs of $46,800 and variable cost per unit of 2/5 x + 333 dollars,…

A: Solution:-

Q: A 350-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: Given Number of Units: 350  Daily Room Rent: $94  Rent after increasing x dollars: 94 + x  Units…

Q: A pencil cup with a capacity of 36 square inches is to be constructed in the shape of a rectangular…

A: Use application of derivative to find dimensions of the cup to minimize construction cost.

Q: Find the marginal profit function if cost and revenue are Pix- given by C(x)=215 +0.7x and R(x) = 3x…

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

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Q: A manufacturer's total cost equation per day is given by the equation TC = 440+4q+,00010². If each…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -…

A: Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function…

Q: The ABC Company has determined that the cost of producing x widgets per weeks is C = f (x)= 2000 +…

A: C=fx=2000+100x-0.1x2 To find the cost of producing 100 widgets, put x=100 in cost function. That is,…

Q: A manufacturer has an order for 1000 units of fine paper that can be produced at two locations. Let…

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Q: A customer has made a request for a wooden box with an open top that needs to have a volume of…

A: Note:- As per your demand we solve it for only constraints for this optimization  Given problem:- A…

Q: Suppose the cost function is given by C(x)=2e3x. Find the x-value which minimizes the average cost.

A: to find the value of x which minimize the average cost.

Q: Given the cost function C(x) = x3 - 6x2 + 13x + 15, find the minimum marginal cost.

A: Given, cost function C(x) = x3 - 6x2 + 13x + 15 To evaluate minimum marginal cost.

Q: The consumer demand curve for Professor Stefan Schwarzenegger's dumbbells is given by  q = (102 −…

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

A:

Q: a manufacturer finds that for the first 500 units of its product that are produced and sold, the…

A: Let x be the number of additional units produced beyond 500 units.  Therefore total profit p =…

Q: Given the cost function C(x) = 5x - 11x + 13x +8, find the minimum marginal cost. %3D

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Q: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by q=(118-2p)^2,…

A: given: The consumer demand curve for Professor Stefan Schwarzenegger’s dumbbells is given by…

Q: a. If she walks at 3 mi/hr and rows at 2 mi/hr, at which point on the shore should she land to…

A: Given: A boat on the ocean is 4 mi from the nearest point on a straight shoreline; that point is 6…

Q: Find the marginal profit function if cost and revenue are given by C(x) = 170 +0.5x and R(x) = 2x -…

A: To differentiate a function we use the following differentiation rules: Sum rule Difference rule…

Q: A company has determined that for product A,150 units are demanded if price RM40, and 100 units are…

A: Here, given that 150 units are demanded if price RM40, and 100 units are demanded if the price is…

Q: Given the cost function C(x) = 7x° - 3x + 5x + 8, find the minimum marginal cost. %3D

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x,y) = x² +…

A: Given: The labor cost(in dollars) for manufacturing a camera is approximated by, L(x,…

Q: A 470-unit hotel is trying to determine their daily rates. From experience, the hotel manager knows…

A: answer is in next step. please give a like !!!

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

A:

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by  L(x,y)=…

A:

Q: ou have estimated the cost function for producing q items will be C(q) = 29400 + 16q, and %3D expect…

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Q: f. An isolated farm house is located on the bank of a straight canal that is 200 m wide. Electric…

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Q: The cost of producing a vials of COVID-19 vaccine is given by 125, 000 C(x) = 20, 000 + 10 A…

A: Let C(x) be the cost function and p(x) be the price function for x units. Then the revenue function…

Q: Suppose the cost function is given by C (x) =2e3x. Find the x-value which minimizes the average…

A: It is given that, the cost function is given by C (x) =2e3x. We have to find the value of x which…

Q: A strawberry farmer will receive $36 per bushel of strawberries during the first week of harvesting.…

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Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -…

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx,…

Q: The demand for face masks is given by p =-3 In(x) + 10 with domain [1, 28] where x is the number of…

A: Given: The demand for face masks is given by, p=-3 lnx+10, with domain 1, 28 where x is the number…

Q: Two machines, A and B produce items at the rate of 50 units per hour and 40 units per hour j.…

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