(a) Suppose that c(x) = x³ – 20x² + 20, 000x %3D is the cost of manufacturing x items. Find a production level that will minimize the average cost of making x items.

Q: Find out the production units x for which cost is minimum if cost function C is given by C-x'-120x…

A: The cost function is given as C = x3 -120 x2 + 4500 x   The minimum value of the cost function is…

Q: An island is 2 miles due north of its closest point along a straight shoreline. A visitor is staying…

A:

Q: Aki's Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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

A:

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: If the total cost function for a product is C(x) = 120(0.02x + 5)³ dollars, where x represents the…

A:

Q: An open-top box is to be constructed so that its base is twice as long as it is wide. Its volume is…

A: Volume of cuboid is V=LWH Here,  L=lengthW=widthH=height Surface area of cuboid with open top is…

Q: The total cost of producing a type of car is given by C(x)=23000−30x+0.04x2 , where x is the…

A: Given: The total cost of producing a type of car is given by Cx=23000-30x+0.04x2

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

A: To find the number of units that should be produced at each location to minimize the cost.

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: A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is…

A:

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

A:

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

A:

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

A: Solution:-

Q: Find the marginal profit function if cost and revenue are given by C(x) = 224 + 0.8x and R(x) = 8x…

A: Marginal profit function is equal to the difference between marginal revenue and marginal cost…

Q: A company finds that the total cost of manufacturing a units of a certain product is given by C(x)…

A: We will find the required information as shown below

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: Show that if r(x) = 6x and c(x) = x3 - 6x2 + 15x are your rev-enue and cost functions, then the best…

A: Break even point occurs when profit is zero.We have given r(x) = 6x and c(x) = x3 - 6x2 + 15x are…

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

A:

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: The total cost of producing a type of car is given by C(x) = 21000 – 20x + 0.02x, where x is the…

A: Topic = Functions

Q: A one-product firm estimates that its daily total cost function (in suitable units) is C(x) = x3 -…

A: Given that, Cost function = C(x) = x3-6x2+13x+15 Revenue function = R(x) = 28x Then the profit…

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

A:

Q: In order to treat a certain bacterial infection, a combination of two drugs is being tested. Studies…

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

A: We have to find the value x

Q: An island is 3 kilometers due north of its closest point along a straight shoreline. A visitor is…

A: Choose the point Q in between the Shoreline, and consider the path PQR. Let x be the distance that…

Q: If the total cost function for a product is C(x) = (x + 8)3 dollars, where x represents the number…

A:

Q: An island is 2 miles due south of its closest point along a straight shoreline. A visitor is staying…

A: Model the given problem as below.

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: The cost of producing x units of a certain commodity is C(x) = 1x² + 5x+8 dollars. If the price is…

A:

Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: Given that  C = 0.001x3 + 3x + 432  To Find the number of units x that produces the minimum average…

Q: A firm has decided to use more energy-efficient equipment that is expected to produce a savings rate…

A: Given savings rate is  S'x=60-4x                       (i) From eq. (i)…

Q: Suppose that c(x) = x3 - 20x2 + 20,000x is the cost of manufacturing x items. Find a production…

A:

Q: A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to an…

A: Given A visitor is staying in a cottage that is 10 miles east of the closest point on a shoreline to…

Q: 4. The cost of producing x electronic games is given by C(x)= 1080 + 42x + 0.3x² dollars. Find the…

A:

Q: A firm produces a product that has the production cost function C(x) = 420x + 6090 and the revenue…

A: Find your answer below

Q: If the total cost function for a product is C(x) = 325(0.02x + 4)3 dollars,where x represents the…

A:

Q: If the total cost function for a product is C(x) = 120(0.02x + 5)3 dollars, where x represents the…

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: 18. If the total cost function for a product is C(x) = 300 + 10x + 0.03x² dollars, producing how…

A: Question number 18,Given,            The total cost function for a product is Cx=300+10x+0.03x2…

Q: A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit. If the daily total…

A: Given:    Cx=100,000+50x+0.003125x2 To solve the amount of sulfuric acid to maximize the profit we…

Q: Solve the problem graphically and calculate the Z value of at the optimal solution (

A:

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x + 60x + 200,…

A:

Q: If the total cost function for a product is C(x) = 5(x + 4)3 dollars, where x represents the number…

A: we have the cost function  C(x)=5(x+4)3

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: Suppose that c(x) = x³ – 20x2 + 20, 000x is the cost of manufacturing x items. Find the production…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: If the total cost function for a product is  C(x) = 4(x + 7)3 dollars,  where x represents the…

A: